4(x-2)=12-x

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


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

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

Solving
-8 + 4x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 4x + x = 12 + -1x + x

Combine like terms: 4x + x = 5x
-8 + 5x = 12 + -1x + x

Combine like terms: -1x + x = 0
-8 + 5x = 12 + 0
-8 + 5x = 12

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

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

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

Divide each side by '5'.
x = 4

Simplifying
x = 4

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