-7x-6(3-3x)=3(x-4)+2x

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Solution for -7x-6(3-3x)=3(x-4)+2x equation:


Simplifying
-7x + -6(3 + -3x) = 3(x + -4) + 2x
-7x + (3 * -6 + -3x * -6) = 3(x + -4) + 2x
-7x + (-18 + 18x) = 3(x + -4) + 2x

Reorder the terms:
-18 + -7x + 18x = 3(x + -4) + 2x

Combine like terms: -7x + 18x = 11x
-18 + 11x = 3(x + -4) + 2x

Reorder the terms:
-18 + 11x = 3(-4 + x) + 2x
-18 + 11x = (-4 * 3 + x * 3) + 2x
-18 + 11x = (-12 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-18 + 11x = -12 + 5x

Solving
-18 + 11x = -12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 11x + -5x = -12 + 5x + -5x

Combine like terms: 11x + -5x = 6x
-18 + 6x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 6x = -12 + 0
-18 + 6x = -12

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

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

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

Divide each side by '6'.
x = 1

Simplifying
x = 1

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