10x-13=5x+2

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Solution for 10x-13=5x+2 equation:


Simplifying
10x + -13 = 5x + 2

Reorder the terms:
-13 + 10x = 5x + 2

Reorder the terms:
-13 + 10x = 2 + 5x

Solving
-13 + 10x = 2 + 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 + 10x + -5x = 2 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-13 + 5x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + 5x = 2 + 0
-13 + 5x = 2

Add '13' to each side of the equation.
-13 + 13 + 5x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 2 + 13
5x = 2 + 13

Combine like terms: 2 + 13 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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