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

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


Simplifying
-1(x + -3) + 2 = 5x + -8

Reorder the terms:
-1(-3 + x) + 2 = 5x + -8
(-3 * -1 + x * -1) + 2 = 5x + -8
(3 + -1x) + 2 = 5x + -8

Reorder the terms:
3 + 2 + -1x = 5x + -8

Combine like terms: 3 + 2 = 5
5 + -1x = 5x + -8

Reorder the terms:
5 + -1x = -8 + 5x

Solving
5 + -1x = -8 + 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.
5 + -1x + -5x = -8 + 5x + -5x

Combine like terms: -1x + -5x = -6x
5 + -6x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -6x = -8 + 0
5 + -6x = -8

Add '-5' to each side of the equation.
5 + -5 + -6x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -8 + -5
-6x = -8 + -5

Combine like terms: -8 + -5 = -13
-6x = -13

Divide each side by '-6'.
x = 2.166666667

Simplifying
x = 2.166666667

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