3x-5+13=2x+11-8

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Solution for 3x-5+13=2x+11-8 equation:


Simplifying
3x + -5 + 13 = 2x + 11 + -8

Reorder the terms:
-5 + 13 + 3x = 2x + 11 + -8

Combine like terms: -5 + 13 = 8
8 + 3x = 2x + 11 + -8

Reorder the terms:
8 + 3x = 11 + -8 + 2x

Combine like terms: 11 + -8 = 3
8 + 3x = 3 + 2x

Solving
8 + 3x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 3x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
8 + 1x = 3 + 0
8 + 1x = 3

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

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

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

Divide each side by '1'.
x = -5

Simplifying
x = -5

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