x+12=6x-13

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


Simplifying
x + 12 = 6x + -13

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

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

Solving
12 + x = -13 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 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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