x*3+132=x*8-13

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Solution for x*3+132=x*8-13 equation:


Simplifying
x * 3 + 132 = x * 8 + -13

Reorder the terms for easier multiplication:
3x + 132 = x * 8 + -13

Reorder the terms:
132 + 3x = x * 8 + -13

Reorder the terms for easier multiplication:
132 + 3x = 8x + -13

Reorder the terms:
132 + 3x = -13 + 8x

Solving
132 + 3x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
132 + 3x + -8x = -13 + 8x + -8x

Combine like terms: 3x + -8x = -5x
132 + -5x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
132 + -5x = -13 + 0
132 + -5x = -13

Add '-132' to each side of the equation.
132 + -132 + -5x = -13 + -132

Combine like terms: 132 + -132 = 0
0 + -5x = -13 + -132
-5x = -13 + -132

Combine like terms: -13 + -132 = -145
-5x = -145

Divide each side by '-5'.
x = 29

Simplifying
x = 29

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