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

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


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

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

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

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

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

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

Solving
-8 + -2x = -1 + 1x

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.
-8 + -2x + -1x = -1 + 1x + -1x

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

Combine like terms: 1x + -1x = 0
-8 + -3x = -1 + 0
-8 + -3x = -1

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

Combine like terms: -8 + 8 = 0
0 + -3x = -1 + 8
-3x = -1 + 8

Combine like terms: -1 + 8 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

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