x*12-151=x*6-13

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Solution for x*12-151=x*6-13 equation:


Simplifying
x * 12 + -151 = x * 6 + -13

Reorder the terms for easier multiplication:
12x + -151 = x * 6 + -13

Reorder the terms:
-151 + 12x = x * 6 + -13

Reorder the terms for easier multiplication:
-151 + 12x = 6x + -13

Reorder the terms:
-151 + 12x = -13 + 6x

Solving
-151 + 12x = -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.
-151 + 12x + -6x = -13 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-151 + 6x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-151 + 6x = -13 + 0
-151 + 6x = -13

Add '151' to each side of the equation.
-151 + 151 + 6x = -13 + 151

Combine like terms: -151 + 151 = 0
0 + 6x = -13 + 151
6x = -13 + 151

Combine like terms: -13 + 151 = 138
6x = 138

Divide each side by '6'.
x = 23

Simplifying
x = 23

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