-8(x+8)+5=5(x-7)-5x

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Solution for -8(x+8)+5=5(x-7)-5x equation: 


Simplifying
-8(x + 8) + 5 = 5(x + -7) + -5x

Reorder the terms:
-8(8 + x) + 5 = 5(x + -7) + -5x
(8 * -8 + x * -8) + 5 = 5(x + -7) + -5x
(-64 + -8x) + 5 = 5(x + -7) + -5x

Reorder the terms:
-64 + 5 + -8x = 5(x + -7) + -5x

Combine like terms: -64 + 5 = -59
-59 + -8x = 5(x + -7) + -5x

Reorder the terms:
-59 + -8x = 5(-7 + x) + -5x
-59 + -8x = (-7 * 5 + x * 5) + -5x
-59 + -8x = (-35 + 5x) + -5x

Combine like terms: 5x + -5x = 0
-59 + -8x = -35 + 0
-59 + -8x = -35

Solving
-59 + -8x = -35

Solving for variable 'x'.

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

Add '59' to each side of the equation.
-59 + 59 + -8x = -35 + 59

Combine like terms: -59 + 59 = 0
0 + -8x = -35 + 59
-8x = -35 + 59

Combine like terms: -35 + 59 = 24
-8x = 24

Divide each side by '-8'.
x = -3

Simplifying
x = -3

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