12x+7=13x-6

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


Simplifying
12x + 7 = 13x + -6

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

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

Solving
7 + 12x = -6 + 13x

Solving for variable 'x'.

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

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

Combine like terms: 12x + -13x = -1x
7 + -1x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
7 + -1x = -6 + 0
7 + -1x = -6

Add '-7' to each side of the equation.
7 + -7 + -1x = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -6 + -7
-1x = -6 + -7

Combine like terms: -6 + -7 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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