-2(x-4)-6=3(x+6)+4

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Solution for -2(x-4)-6=3(x+6)+4 equation: 


Simplifying
-2(x + -4) + -6 = 3(x + 6) + 4

Reorder the terms:
-2(-4 + x) + -6 = 3(x + 6) + 4
(-4 * -2 + x * -2) + -6 = 3(x + 6) + 4
(8 + -2x) + -6 = 3(x + 6) + 4

Reorder the terms:
8 + -6 + -2x = 3(x + 6) + 4

Combine like terms: 8 + -6 = 2
2 + -2x = 3(x + 6) + 4

Reorder the terms:
2 + -2x = 3(6 + x) + 4
2 + -2x = (6 * 3 + x * 3) + 4
2 + -2x = (18 + 3x) + 4

Reorder the terms:
2 + -2x = 18 + 4 + 3x

Combine like terms: 18 + 4 = 22
2 + -2x = 22 + 3x

Solving
2 + -2x = 22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -2x + -3x = 22 + 3x + -3x

Combine like terms: -2x + -3x = -5x
2 + -5x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -5x = 22 + 0
2 + -5x = 22

Add '-2' to each side of the equation.
2 + -2 + -5x = 22 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 22 + -2
-5x = 22 + -2

Combine like terms: 22 + -2 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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