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

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


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

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

Combine like terms: 4x + -1x = 3x
12 + -3x = -12 + 3x

Solving
12 + -3x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
12 + -3x + -3x = -12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
12 + -6x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 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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