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

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Solution for 3(x+4)-6x=2(x+7)+8 equation: 


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

Reorder the terms:
3(4 + x) + -6x = 2(x + 7) + 8
(4 * 3 + x * 3) + -6x = 2(x + 7) + 8
(12 + 3x) + -6x = 2(x + 7) + 8

Combine like terms: 3x + -6x = -3x
12 + -3x = 2(x + 7) + 8

Reorder the terms:
12 + -3x = 2(7 + x) + 8
12 + -3x = (7 * 2 + x * 2) + 8
12 + -3x = (14 + 2x) + 8

Reorder the terms:
12 + -3x = 14 + 8 + 2x

Combine like terms: 14 + 8 = 22
12 + -3x = 22 + 2x

Solving
12 + -3x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + -3x + -2x = 22 + 2x + -2x

Combine like terms: -3x + -2x = -5x
12 + -5x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -5x = 22 + 0
12 + -5x = 22

Add '-12' to each side of the equation.
12 + -12 + -5x = 22 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 22 + -12
-5x = 22 + -12

Combine like terms: 22 + -12 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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