4(3x-3)=-2x-6-4x+12

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Solution for 4(3x-3)=-2x-6-4x+12 equation:


Simplifying
4(3x + -3) = -2x + -6 + -4x + 12

Reorder the terms:
4(-3 + 3x) = -2x + -6 + -4x + 12
(-3 * 4 + 3x * 4) = -2x + -6 + -4x + 12
(-12 + 12x) = -2x + -6 + -4x + 12

Reorder the terms:
-12 + 12x = -6 + 12 + -2x + -4x

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

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

Solving
-12 + 12x = 6 + -6x

Solving for variable 'x'.

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

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

Combine like terms: 12x + 6x = 18x
-12 + 18x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 18x = 6 + 0
-12 + 18x = 6

Add '12' to each side of the equation.
-12 + 12 + 18x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 18x = 6 + 12
18x = 6 + 12

Combine like terms: 6 + 12 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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