-6(x-1)=14-2x

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Solution for -6(x-1)=14-2x equation:


Simplifying
-6(x + -1) = 14 + -2x

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

Solving
6 + -6x = 14 + -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.
6 + -6x + 2x = 14 + -2x + 2x

Combine like terms: -6x + 2x = -4x
6 + -4x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + -4x = 14 + 0
6 + -4x = 14

Add '-6' to each side of the equation.
6 + -6 + -4x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 14 + -6
-4x = 14 + -6

Combine like terms: 14 + -6 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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