4x-2(x-3)=-6+5x-12

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Solution for 4x-2(x-3)=-6+5x-12 equation: 


Simplifying
4x + -2(x + -3) = -6 + 5x + -12

Reorder the terms:
4x + -2(-3 + x) = -6 + 5x + -12
4x + (-3 * -2 + x * -2) = -6 + 5x + -12
4x + (6 + -2x) = -6 + 5x + -12

Reorder the terms:
6 + 4x + -2x = -6 + 5x + -12

Combine like terms: 4x + -2x = 2x
6 + 2x = -6 + 5x + -12

Reorder the terms:
6 + 2x = -6 + -12 + 5x

Combine like terms: -6 + -12 = -18
6 + 2x = -18 + 5x

Solving
6 + 2x = -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.
6 + 2x + -5x = -18 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -3x = -18 + 0
6 + -3x = -18

Add '-6' to each side of the equation.
6 + -6 + -3x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -18 + -6
-3x = -18 + -6

Combine like terms: -18 + -6 = -24
-3x = -24

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

Simplifying
x = 8

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