3(x-6)+8=5(x+2)-12

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Solution for 3(x-6)+8=5(x+2)-12 equation: 


Simplifying
3(x + -6) + 8 = 5(x + 2) + -12

Reorder the terms:
3(-6 + x) + 8 = 5(x + 2) + -12
(-6 * 3 + x * 3) + 8 = 5(x + 2) + -12
(-18 + 3x) + 8 = 5(x + 2) + -12

Reorder the terms:
-18 + 8 + 3x = 5(x + 2) + -12

Combine like terms: -18 + 8 = -10
-10 + 3x = 5(x + 2) + -12

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

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

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

Solving
-10 + 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.
-10 + 3x + -5x = -2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-10 + -2x = -2 + 0
-10 + -2x = -2

Add '10' to each side of the equation.
-10 + 10 + -2x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -2 + 10
-2x = -2 + 10

Combine like terms: -2 + 10 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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