8x+16-2x-6=2x-6+3x-12

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Solution for 8x+16-2x-6=2x-6+3x-12 equation: 


Simplifying
8x + 16 + -2x + -6 = 2x + -6 + 3x + -12

Reorder the terms:
16 + -6 + 8x + -2x = 2x + -6 + 3x + -12

Combine like terms: 16 + -6 = 10
10 + 8x + -2x = 2x + -6 + 3x + -12

Combine like terms: 8x + -2x = 6x
10 + 6x = 2x + -6 + 3x + -12

Reorder the terms:
10 + 6x = -6 + -12 + 2x + 3x

Combine like terms: -6 + -12 = -18
10 + 6x = -18 + 2x + 3x

Combine like terms: 2x + 3x = 5x
10 + 6x = -18 + 5x

Solving
10 + 6x = -18 + 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 + 6x + -5x = -18 + 5x + -5x

Combine like terms: 6x + -5x = 1x
10 + 1x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 1x = -18 + 0
10 + 1x = -18

Add '-10' to each side of the equation.
10 + -10 + 1x = -18 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -18 + -10
1x = -18 + -10

Combine like terms: -18 + -10 = -28
1x = -28

Divide each side by '1'.
x = -28

Simplifying
x = -28

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