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

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


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

Reorder the terms:
6(-4 + x) + -2(2x + -4) = 12
(-4 * 6 + x * 6) + -2(2x + -4) = 12
(-24 + 6x) + -2(2x + -4) = 12

Reorder the terms:
-24 + 6x + -2(-4 + 2x) = 12
-24 + 6x + (-4 * -2 + 2x * -2) = 12
-24 + 6x + (8 + -4x) = 12

Reorder the terms:
-24 + 8 + 6x + -4x = 12

Combine like terms: -24 + 8 = -16
-16 + 6x + -4x = 12

Combine like terms: 6x + -4x = 2x
-16 + 2x = 12

Solving
-16 + 2x = 12

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 2x = 12 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = 12 + 16
2x = 12 + 16

Combine like terms: 12 + 16 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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