2x-13=5x+8

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


Simplifying
2x + -13 = 5x + 8

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

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

Solving
-13 + 2x = 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.
-13 + 2x + -5x = 8 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-13 + -3x = 8 + 0
-13 + -3x = 8

Add '13' to each side of the equation.
-13 + 13 + -3x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 8 + 13
-3x = 8 + 13

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

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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