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

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


Simplifying
2(x + -4) = 3x + -1(2x + -12)

Reorder the terms:
2(-4 + x) = 3x + -1(2x + -12)
(-4 * 2 + x * 2) = 3x + -1(2x + -12)
(-8 + 2x) = 3x + -1(2x + -12)

Reorder the terms:
-8 + 2x = 3x + -1(-12 + 2x)
-8 + 2x = 3x + (-12 * -1 + 2x * -1)
-8 + 2x = 3x + (12 + -2x)

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

Combine like terms: 3x + -2x = 1x
-8 + 2x = 12 + 1x

Solving
-8 + 2x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-8 + 2x + -1x = 12 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-8 + 1x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
-8 + 1x = 12 + 0
-8 + 1x = 12

Add '8' to each side of the equation.
-8 + 8 + 1x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 12 + 8
1x = 12 + 8

Combine like terms: 12 + 8 = 20
1x = 20

Divide each side by '1'.
x = 20

Simplifying
x = 20

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