3x-6x+5=8-5x+13

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Solution for 3x-6x+5=8-5x+13 equation:


Simplifying
3x + -6x + 5 = 8 + -5x + 13

Reorder the terms:
5 + 3x + -6x = 8 + -5x + 13

Combine like terms: 3x + -6x = -3x
5 + -3x = 8 + -5x + 13

Reorder the terms:
5 + -3x = 8 + 13 + -5x

Combine like terms: 8 + 13 = 21
5 + -3x = 21 + -5x

Solving
5 + -3x = 21 + -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 + -3x + 5x = 21 + -5x + 5x

Combine like terms: -3x + 5x = 2x
5 + 2x = 21 + -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 2x = 21 + 0
5 + 2x = 21

Add '-5' to each side of the equation.
5 + -5 + 2x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 21 + -5
2x = 21 + -5

Combine like terms: 21 + -5 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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