6(x+6)=-4(2x-7)+8x

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Solution for 6(x+6)=-4(2x-7)+8x equation: 


Simplifying
6(x + 6) = -4(2x + -7) + 8x

Reorder the terms:
6(6 + x) = -4(2x + -7) + 8x
(6 * 6 + x * 6) = -4(2x + -7) + 8x
(36 + 6x) = -4(2x + -7) + 8x

Reorder the terms:
36 + 6x = -4(-7 + 2x) + 8x
36 + 6x = (-7 * -4 + 2x * -4) + 8x
36 + 6x = (28 + -8x) + 8x

Combine like terms: -8x + 8x = 0
36 + 6x = 28 + 0
36 + 6x = 28

Solving
36 + 6x = 28

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 6x = 28 + -36

Combine like terms: 36 + -36 = 0
0 + 6x = 28 + -36
6x = 28 + -36

Combine like terms: 28 + -36 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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