6-11x+7+12x=x-13-8x+2

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Solution for 6-11x+7+12x=x-13-8x+2 equation:


Simplifying
6 + -11x + 7 + 12x = x + -13 + -8x + 2

Reorder the terms:
6 + 7 + -11x + 12x = x + -13 + -8x + 2

Combine like terms: 6 + 7 = 13
13 + -11x + 12x = x + -13 + -8x + 2

Combine like terms: -11x + 12x = 1x
13 + 1x = x + -13 + -8x + 2

Reorder the terms:
13 + 1x = -13 + 2 + x + -8x

Combine like terms: -13 + 2 = -11
13 + 1x = -11 + x + -8x

Combine like terms: x + -8x = -7x
13 + 1x = -11 + -7x

Solving
13 + 1x = -11 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
13 + 1x + 7x = -11 + -7x + 7x

Combine like terms: 1x + 7x = 8x
13 + 8x = -11 + -7x + 7x

Combine like terms: -7x + 7x = 0
13 + 8x = -11 + 0
13 + 8x = -11

Add '-13' to each side of the equation.
13 + -13 + 8x = -11 + -13

Combine like terms: 13 + -13 = 0
0 + 8x = -11 + -13
8x = -11 + -13

Combine like terms: -11 + -13 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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