-2(x-3)+5x=x-8

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Solution for -2(x-3)+5x=x-8 equation:


Simplifying
-2(x + -3) + 5x = x + -8

Reorder the terms:
-2(-3 + x) + 5x = x + -8
(-3 * -2 + x * -2) + 5x = x + -8
(6 + -2x) + 5x = x + -8

Combine like terms: -2x + 5x = 3x
6 + 3x = x + -8

Reorder the terms:
6 + 3x = -8 + x

Solving
6 + 3x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 3x + -1x = -8 + x + -1x

Combine like terms: 3x + -1x = 2x
6 + 2x = -8 + x + -1x

Combine like terms: x + -1x = 0
6 + 2x = -8 + 0
6 + 2x = -8

Add '-6' to each side of the equation.
6 + -6 + 2x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -8 + -6
2x = -8 + -6

Combine like terms: -8 + -6 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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