2x-13=x-5

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


Simplifying
2x + -13 = x + -5

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

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

Solving
-13 + 2x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-13 + 2x + -1x = -5 + x + -1x

Combine like terms: 2x + -1x = 1x
-13 + 1x = -5 + x + -1x

Combine like terms: x + -1x = 0
-13 + 1x = -5 + 0
-13 + 1x = -5

Add '13' to each side of the equation.
-13 + 13 + 1x = -5 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = -5 + 13
1x = -5 + 13

Combine like terms: -5 + 13 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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