Yednia solved an equation and justified her steps as shown in the table.

2+2x5=−10

Drag and drop the reasons into the boxes to correctly complete the table.

Given:

Consider the equation

[tex]2+\dfrac{2x}{5}=-10[/tex]

To find:

The steps and solution for the given equation.

Solution:

We have,

[tex]2+\dfrac{2x}{5}=-10[/tex]

Step 1: Using subtraction property of equality, subtract 2 from both sides.

[tex]2+\dfrac{2x}{5}-2=-10-2[/tex]

[tex]\dfrac{2x}{5}=-12[/tex]

Step 2: Using multiplication property of equality, multiply both sides by 5.

[tex]\dfrac{2x}{5}\times 5=-12\times 5[/tex]

[tex]2x=-60[/tex]

Step 3: Using division property of equality, divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{-60}{2}[/tex]

[tex]x=-30[/tex]

Therefore, the solution of the given equation is [tex]x=-30[/tex].

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Price
Discount
30%
Shipping Cost
NA
$149.49
Name
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Discounters
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The Bean
$91.99
NA
15% of the cost of
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NA
$106.49
NA
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