3(x-6)+6=5(x+2)-8

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Solution for 3(x-6)+6=5(x+2)-8 equation: 


Simplifying
3(x + -6) + 6 = 5(x + 2) + -8

Reorder the terms:
3(-6 + x) + 6 = 5(x + 2) + -8
(-6 * 3 + x * 3) + 6 = 5(x + 2) + -8
(-18 + 3x) + 6 = 5(x + 2) + -8

Reorder the terms:
-18 + 6 + 3x = 5(x + 2) + -8

Combine like terms: -18 + 6 = -12
-12 + 3x = 5(x + 2) + -8

Reorder the terms:
-12 + 3x = 5(2 + x) + -8
-12 + 3x = (2 * 5 + x * 5) + -8
-12 + 3x = (10 + 5x) + -8

Reorder the terms:
-12 + 3x = 10 + -8 + 5x

Combine like terms: 10 + -8 = 2
-12 + 3x = 2 + 5x

Solving
-12 + 3x = 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.
-12 + 3x + -5x = 2 + 5x + -5x

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

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

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

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

Combine like terms: 2 + 12 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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