2x-5=5x+13

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


Simplifying
2x + -5 = 5x + 13

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

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

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

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

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

Add '5' to each side of the equation.
-5 + 5 + -3x = 13 + 5

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

Combine like terms: 13 + 5 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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