12x+2=13x-6

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Solution for 12x+2=13x-6 equation:


Simplifying
12x + 2 = 13x + -6

Reorder the terms:
2 + 12x = 13x + -6

Reorder the terms:
2 + 12x = -6 + 13x

Solving
2 + 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.
2 + 12x + -13x = -6 + 13x + -13x

Combine like terms: 12x + -13x = -1x
2 + -1x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
2 + -1x = -6 + 0
2 + -1x = -6

Add '-2' to each side of the equation.
2 + -2 + -1x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -6 + -2
-1x = -6 + -2

Combine like terms: -6 + -2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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