5x-13=2x+11

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


Simplifying
5x + -13 = 2x + 11

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

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

Solving
-13 + 5x = 11 + 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.
-13 + 5x + -2x = 11 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-13 + 3x = 11 + 0
-13 + 3x = 11

Add '13' to each side of the equation.
-13 + 13 + 3x = 11 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 11 + 13
3x = 11 + 13

Combine like terms: 11 + 13 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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