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

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


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

Reorder the terms:
-6(6 + -3x) + -6x = 2(x + -7) + -7
(6 * -6 + -3x * -6) + -6x = 2(x + -7) + -7
(-36 + 18x) + -6x = 2(x + -7) + -7

Combine like terms: 18x + -6x = 12x
-36 + 12x = 2(x + -7) + -7

Reorder the terms:
-36 + 12x = 2(-7 + x) + -7
-36 + 12x = (-7 * 2 + x * 2) + -7
-36 + 12x = (-14 + 2x) + -7

Reorder the terms:
-36 + 12x = -14 + -7 + 2x

Combine like terms: -14 + -7 = -21
-36 + 12x = -21 + 2x

Solving
-36 + 12x = -21 + 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.
-36 + 12x + -2x = -21 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-36 + 10x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
-36 + 10x = -21 + 0
-36 + 10x = -21

Add '36' to each side of the equation.
-36 + 36 + 10x = -21 + 36

Combine like terms: -36 + 36 = 0
0 + 10x = -21 + 36
10x = -21 + 36

Combine like terms: -21 + 36 = 15
10x = 15

Divide each side by '10'.
x = 1.5

Simplifying
x = 1.5

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