2(x-4)=6x-12

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


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

Reorder the terms:
2(-4 + x) = 6x + -12
(-4 * 2 + x * 2) = 6x + -12
(-8 + 2x) = 6x + -12

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

Solving
-8 + 2x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 2x + -6x = -12 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-8 + -4x = -12 + 0
-8 + -4x = -12

Add '8' to each side of the equation.
-8 + 8 + -4x = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -12 + 8
-4x = -12 + 8

Combine like terms: -12 + 8 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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