6x-12=x+13

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Solution for 6x-12=x+13 equation:


Simplifying
6x + -12 = x + 13

Reorder the terms:
-12 + 6x = x + 13

Reorder the terms:
-12 + 6x = 13 + x

Solving
-12 + 6x = 13 + 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.
-12 + 6x + -1x = 13 + x + -1x

Combine like terms: 6x + -1x = 5x
-12 + 5x = 13 + x + -1x

Combine like terms: x + -1x = 0
-12 + 5x = 13 + 0
-12 + 5x = 13

Add '12' to each side of the equation.
-12 + 12 + 5x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 13 + 12
5x = 13 + 12

Combine like terms: 13 + 12 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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