13x-5=2x+5

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


Simplifying
13x + -5 = 2x + 5

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

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

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

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

Combine like terms: 2x + -2x = 0
-5 + 11x = 5 + 0
-5 + 11x = 5

Add '5' to each side of the equation.
-5 + 5 + 11x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 5 + 5
11x = 5 + 5

Combine like terms: 5 + 5 = 10
11x = 10

Divide each side by '11'.
x = 0.9090909091

Simplifying
x = 0.9090909091

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