6x-x+5=3x+x-8

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Solution for 6x-x+5=3x+x-8 equation:


Simplifying
6x + -1x + 5 = 3x + x + -8

Reorder the terms:
5 + 6x + -1x = 3x + x + -8

Combine like terms: 6x + -1x = 5x
5 + 5x = 3x + x + -8

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

Combine like terms: 3x + x = 4x
5 + 5x = -8 + 4x

Solving
5 + 5x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 5x + -4x = -8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
5 + 1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + 1x = -8 + 0
5 + 1x = -8

Add '-5' to each side of the equation.
5 + -5 + 1x = -8 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -8 + -5
1x = -8 + -5

Combine like terms: -8 + -5 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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