10x+13=8x-13

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Solution for 10x+13=8x-13 equation:


Simplifying
10x + 13 = 8x + -13

Reorder the terms:
13 + 10x = 8x + -13

Reorder the terms:
13 + 10x = -13 + 8x

Solving
13 + 10x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
13 + 10x + -8x = -13 + 8x + -8x

Combine like terms: 10x + -8x = 2x
13 + 2x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
13 + 2x = -13 + 0
13 + 2x = -13

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

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

Combine like terms: -13 + -13 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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