4x-8-3x+12=2x-6

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Solution for 4x-8-3x+12=2x-6 equation:


Simplifying
4x + -8 + -3x + 12 = 2x + -6

Reorder the terms:
-8 + 12 + 4x + -3x = 2x + -6

Combine like terms: -8 + 12 = 4
4 + 4x + -3x = 2x + -6

Combine like terms: 4x + -3x = 1x
4 + 1x = 2x + -6

Reorder the terms:
4 + 1x = -6 + 2x

Solving
4 + 1x = -6 + 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.
4 + 1x + -2x = -6 + 2x + -2x

Combine like terms: 1x + -2x = -1x
4 + -1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -1x = -6 + 0
4 + -1x = -6

Add '-4' to each side of the equation.
4 + -4 + -1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -6 + -4
-1x = -6 + -4

Combine like terms: -6 + -4 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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