13x-5=10x+5

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Solution for 13x-5=10x+5 equation:


Simplifying
13x + -5 = 10x + 5

Reorder the terms:
-5 + 13x = 10x + 5

Reorder the terms:
-5 + 13x = 5 + 10x

Solving
-5 + 13x = 5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + 13x + -10x = 5 + 10x + -10x

Combine like terms: 13x + -10x = 3x
-5 + 3x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + 3x = 5 + 0
-5 + 3x = 5

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

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

Combine like terms: 5 + 5 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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