5(x+7)+4=-5(x-7)-7

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Solution for 5(x+7)+4=-5(x-7)-7 equation:


Simplifying
5(x + 7) + 4 = -5(x + -7) + -7

Reorder the terms:
5(7 + x) + 4 = -5(x + -7) + -7
(7 * 5 + x * 5) + 4 = -5(x + -7) + -7
(35 + 5x) + 4 = -5(x + -7) + -7

Reorder the terms:
35 + 4 + 5x = -5(x + -7) + -7

Combine like terms: 35 + 4 = 39
39 + 5x = -5(x + -7) + -7

Reorder the terms:
39 + 5x = -5(-7 + x) + -7
39 + 5x = (-7 * -5 + x * -5) + -7
39 + 5x = (35 + -5x) + -7

Reorder the terms:
39 + 5x = 35 + -7 + -5x

Combine like terms: 35 + -7 = 28
39 + 5x = 28 + -5x

Solving
39 + 5x = 28 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
39 + 5x + 5x = 28 + -5x + 5x

Combine like terms: 5x + 5x = 10x
39 + 10x = 28 + -5x + 5x

Combine like terms: -5x + 5x = 0
39 + 10x = 28 + 0
39 + 10x = 28

Add '-39' to each side of the equation.
39 + -39 + 10x = 28 + -39

Combine like terms: 39 + -39 = 0
0 + 10x = 28 + -39
10x = 28 + -39

Combine like terms: 28 + -39 = -11
10x = -11

Divide each side by '10'.
x = -1.1

Simplifying
x = -1.1

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