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

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


Simplifying
2(-3x + 7) = -1x + -6

Reorder the terms:
2(7 + -3x) = -1x + -6
(7 * 2 + -3x * 2) = -1x + -6
(14 + -6x) = -1x + -6

Reorder the terms:
14 + -6x = -6 + -1x

Solving
14 + -6x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + -6x + x = -6 + -1x + x

Combine like terms: -6x + x = -5x
14 + -5x = -6 + -1x + x

Combine like terms: -1x + x = 0
14 + -5x = -6 + 0
14 + -5x = -6

Add '-14' to each side of the equation.
14 + -14 + -5x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = -6 + -14
-5x = -6 + -14

Combine like terms: -6 + -14 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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