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

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


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

Reorder the terms:
-2 = 7(-6 + x) + -2x
-2 = (-6 * 7 + x * 7) + -2x
-2 = (-42 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
-2 = -42 + 5x

Solving
-2 = -42 + 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.
-2 + -5x = -42 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -5x = -42 + 0
-2 + -5x = -42

Add '2' to each side of the equation.
-2 + 2 + -5x = -42 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -42 + 2
-5x = -42 + 2

Combine like terms: -42 + 2 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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