-7(x-1)+x=9-2x

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Solution for -7(x-1)+x=9-2x equation:


Simplifying
-7(x + -1) + x = 9 + -2x

Reorder the terms:
-7(-1 + x) + x = 9 + -2x
(-1 * -7 + x * -7) + x = 9 + -2x
(7 + -7x) + x = 9 + -2x

Combine like terms: -7x + x = -6x
7 + -6x = 9 + -2x

Solving
7 + -6x = 9 + -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.
7 + -6x + 2x = 9 + -2x + 2x

Combine like terms: -6x + 2x = -4x
7 + -4x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -4x = 9 + 0
7 + -4x = 9

Add '-7' to each side of the equation.
7 + -7 + -4x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 9 + -7
-4x = 9 + -7

Combine like terms: 9 + -7 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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