4(x-3)=12-2x

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


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

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

Solving
-12 + 4x = 12 + -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 + 4x + 2x = 12 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-12 + 6x = 12 + 0
-12 + 6x = 12

Add '12' to each side of the equation.
-12 + 12 + 6x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 12 + 12
6x = 12 + 12

Combine like terms: 12 + 12 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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