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

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


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

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

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

Combine like terms: -12 + -12 = -24
-24 + 3x = 2(x + -6) + 6

Reorder the terms:
-24 + 3x = 2(-6 + x) + 6
-24 + 3x = (-6 * 2 + x * 2) + 6
-24 + 3x = (-12 + 2x) + 6

Reorder the terms:
-24 + 3x = -12 + 6 + 2x

Combine like terms: -12 + 6 = -6
-24 + 3x = -6 + 2x

Solving
-24 + 3x = -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.
-24 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-24 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 1x = -6 + 0
-24 + 1x = -6

Add '24' to each side of the equation.
-24 + 24 + 1x = -6 + 24

Combine like terms: -24 + 24 = 0
0 + 1x = -6 + 24
1x = -6 + 24

Combine like terms: -6 + 24 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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