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

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


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

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

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

Reorder the terms:
-12 + 3x = 8 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-12 + 3x = 8 + -2x

Solving
-12 + 3x = 8 + -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.
-12 + 3x + 2x = 8 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = 8 + 0
-12 + 5x = 8

Add '12' to each side of the equation.
-12 + 12 + 5x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 8 + 12
5x = 8 + 12

Combine like terms: 8 + 12 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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