anyone please write an easy solution to solve this linear equation with brackets:

16-4(x+3)=2x

anyone pls explain i keep getting 7/2!!

Answers

Answer 1

Answer:

[tex] \large \boxed{x = \frac{2}{3} }[/tex]

Step-by-step explanation:

Goal

Solve the equation for x-term.

Given

Equation

[tex] \large{16 - 4(x + 3) = 2x}[/tex]

Step 1

Distribute/Expand 4 in the expression.

[tex]16 - 4x - 12 = 2x[/tex]

Step 2

Isolate x and combine like terms.

[tex]16 - 12 = 2x + 4x[/tex]

Step 3

Solve the equation for x-term

[tex]4 = 6x \\ \frac{4}{6} = x \\ \frac{2}{3} = x[/tex]

Step 4

If you are not sure that the answer is correct, I suggest to check the answer by substituting the value of x in the equation.

[tex]16 - 4x - 12 = 2x[/tex]

Substitute x = 2/3 in the equation.

[tex]16 - 4( \frac{2}{3} ) - 12 = 2 (\frac{2}{3} ) \\ 4 -4( \frac{2}{3} ) = 2( \frac{2}{3} )[/tex]

Evaluate

[tex]4 - \frac{8}{3} = \frac{4}{3} [/tex]

Move -8/3 to add with 4/3.

[tex]4 = \frac{4}{3} + \frac{8}{3} \\ 4 = \frac{12}{3} \\ 4 = 4[/tex]

The equation is true for x = 2/3. Hence, the solution is x = 2/3.

Hope this helps! Any questions about the answer can be asked in comments.

~ Vectør ~


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Answers

Answer:

500ml water

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Step-by-step explanation:

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9514 1404 393

Answer:

  x = 2 m

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Step-by-step explanation:

The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.

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__

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Answers

Answer:

x = 12

Step-by-step explanation:

x = length of side of square A

'x-3' represents length of side of square B

Perimeter of square A = 4x

Perimeter of square A = 4x - 12

we can set up the following proportion based on ratio of 4:3

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cross-multiply:

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Mr. Greene
purchased 6 movie
tickets for $57.30.
How much does
one movie ticket
cost?

Answers

Answer:

Each ticket costs $9.55

Step-by-step explanation:

You divide 57.30 by the number of tickets(6).  

57.30/6 = 9.55

Answer:

6 movie = $57.30

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Step-by-step explanation:

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Answer:

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Answers

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the breadth of a rectangular handkerchief is 10 cm shorter than its length .if the perimeter of the handkerchief is 100cm. find its length and breadth..
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Answers

Step-by-step explanation:

Perimeter = 2(l+b)

2(x+x-10)=100cm

(x+x-10)= 100 divided by 2

(x+x-10)=50

2x-10=50

2x=50+10,60

x=60 divided by 2

X =30

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Answer:

solution given:

length[l]=xcm(let)

breadth [b]=(x-10)cm

perimeter of rectangle [P]=100cm

we have

P=2[l+b]

100cm=2[x+x-10]

2x-10=[tex] \frac{100}{2} [/tex]

2x=50+10

x=[tex] \frac{60}{2} [/tex]

:.x=30cm

So

length[l]=x=30cm

breadth [b]=(x-10)=30-10=20cm

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answers

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

add 21 to both sides

Step-by-step explanation:

9z-21=60

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Answers

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

Answer:

See below.

Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  (a)  A'(-2, 1), B'(-4, -3), C'(-7, 0)

Step-by-step explanation:

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__

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These coordinates match the first choice.

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Answers

Answer: Noah ran more miles

Step-by-step explanation:

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