Question

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Write the Conditional Statement for the following.
Given: -2(x - 8) = x + 28
Prove: x = -4

Answer 1

1) expand

-2+16=x+28

2) add 2x to both sides

16=x+28+2x

3) simplify x+28+2x to 3x+28

16=3x+28

4) subtract 28 from both sides

16-28=3x

5) simplify 16-28 to -12

-12=3x

6) divide both sides by 3

-12/3=x

7) simplify 12/3 to 4

-4=x

8) switch sides

x=-4

Answer 2

-2x + 16 = x + 28
-12 = 3x
X = -4