-2x-6(4x-7)=-12-8x

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Solution for -2x-6(4x-7)=-12-8x equation:


Simplifying
-2x + -6(4x + -7) = -12 + -8x

Reorder the terms:
-2x + -6(-7 + 4x) = -12 + -8x
-2x + (-7 * -6 + 4x * -6) = -12 + -8x
-2x + (42 + -24x) = -12 + -8x

Reorder the terms:
42 + -2x + -24x = -12 + -8x

Combine like terms: -2x + -24x = -26x
42 + -26x = -12 + -8x

Solving
42 + -26x = -12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
42 + -26x + 8x = -12 + -8x + 8x

Combine like terms: -26x + 8x = -18x
42 + -18x = -12 + -8x + 8x

Combine like terms: -8x + 8x = 0
42 + -18x = -12 + 0
42 + -18x = -12

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

Combine like terms: 42 + -42 = 0
0 + -18x = -12 + -42
-18x = -12 + -42

Combine like terms: -12 + -42 = -54
-18x = -54

Divide each side by '-18'.
x = 3

Simplifying
x = 3

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