3(-6-4x)=-6(x+7)-8x

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Solution for 3(-6-4x)=-6(x+7)-8x equation:


Simplifying
3(-6 + -4x) = -6(x + 7) + -8x
(-6 * 3 + -4x * 3) = -6(x + 7) + -8x
(-18 + -12x) = -6(x + 7) + -8x

Reorder the terms:
-18 + -12x = -6(7 + x) + -8x
-18 + -12x = (7 * -6 + x * -6) + -8x
-18 + -12x = (-42 + -6x) + -8x

Combine like terms: -6x + -8x = -14x
-18 + -12x = -42 + -14x

Solving
-18 + -12x = -42 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-18 + -12x + 14x = -42 + -14x + 14x

Combine like terms: -12x + 14x = 2x
-18 + 2x = -42 + -14x + 14x

Combine like terms: -14x + 14x = 0
-18 + 2x = -42 + 0
-18 + 2x = -42

Add '18' to each side of the equation.
-18 + 18 + 2x = -42 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = -42 + 18
2x = -42 + 18

Combine like terms: -42 + 18 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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