13x-6=7x+12

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Solution for 13x-6=7x+12 equation:


Simplifying
13x + -6 = 7x + 12

Reorder the terms:
-6 + 13x = 7x + 12

Reorder the terms:
-6 + 13x = 12 + 7x

Solving
-6 + 13x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 13x + -7x = 12 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-6 + 6x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 6x = 12 + 0
-6 + 6x = 12

Add '6' to each side of the equation.
-6 + 6 + 6x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 12 + 6
6x = 12 + 6

Combine like terms: 12 + 6 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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