-7(x-8)+8=-5x+2

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Solution for -7(x-8)+8=-5x+2 equation:


Simplifying
-7(x + -8) + 8 = -5x + 2

Reorder the terms:
-7(-8 + x) + 8 = -5x + 2
(-8 * -7 + x * -7) + 8 = -5x + 2
(56 + -7x) + 8 = -5x + 2

Reorder the terms:
56 + 8 + -7x = -5x + 2

Combine like terms: 56 + 8 = 64
64 + -7x = -5x + 2

Reorder the terms:
64 + -7x = 2 + -5x

Solving
64 + -7x = 2 + -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.
64 + -7x + 5x = 2 + -5x + 5x

Combine like terms: -7x + 5x = -2x
64 + -2x = 2 + -5x + 5x

Combine like terms: -5x + 5x = 0
64 + -2x = 2 + 0
64 + -2x = 2

Add '-64' to each side of the equation.
64 + -64 + -2x = 2 + -64

Combine like terms: 64 + -64 = 0
0 + -2x = 2 + -64
-2x = 2 + -64

Combine like terms: 2 + -64 = -62
-2x = -62

Divide each side by '-2'.
x = 31

Simplifying
x = 31

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