-7(x+6)=8(x-8)-4x

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Solution for -7(x+6)=8(x-8)-4x equation: 


Simplifying
-7(x + 6) = 8(x + -8) + -4x

Reorder the terms:
-7(6 + x) = 8(x + -8) + -4x
(6 * -7 + x * -7) = 8(x + -8) + -4x
(-42 + -7x) = 8(x + -8) + -4x

Reorder the terms:
-42 + -7x = 8(-8 + x) + -4x
-42 + -7x = (-8 * 8 + x * 8) + -4x
-42 + -7x = (-64 + 8x) + -4x

Combine like terms: 8x + -4x = 4x
-42 + -7x = -64 + 4x

Solving
-42 + -7x = -64 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-42 + -7x + -4x = -64 + 4x + -4x

Combine like terms: -7x + -4x = -11x
-42 + -11x = -64 + 4x + -4x

Combine like terms: 4x + -4x = 0
-42 + -11x = -64 + 0
-42 + -11x = -64

Add '42' to each side of the equation.
-42 + 42 + -11x = -64 + 42

Combine like terms: -42 + 42 = 0
0 + -11x = -64 + 42
-11x = -64 + 42

Combine like terms: -64 + 42 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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