6x-13=5x-5

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Solution for 6x-13=5x-5 equation:


Simplifying
6x + -13 = 5x + -5

Reorder the terms:
-13 + 6x = 5x + -5

Reorder the terms:
-13 + 6x = -5 + 5x

Solving
-13 + 6x = -5 + 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 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-13 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 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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