x*6-125=x*2-9

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Solution for x*6-125=x*2-9 equation:


Simplifying
x * 6 + -125 = x * 2 + -9

Reorder the terms for easier multiplication:
6x + -125 = x * 2 + -9

Reorder the terms:
-125 + 6x = x * 2 + -9

Reorder the terms for easier multiplication:
-125 + 6x = 2x + -9

Reorder the terms:
-125 + 6x = -9 + 2x

Solving
-125 + 6x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-125 + 6x + -2x = -9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-125 + 4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-125 + 4x = -9 + 0
-125 + 4x = -9

Add '125' to each side of the equation.
-125 + 125 + 4x = -9 + 125

Combine like terms: -125 + 125 = 0
0 + 4x = -9 + 125
4x = -9 + 125

Combine like terms: -9 + 125 = 116
4x = 116

Divide each side by '4'.
x = 29

Simplifying
x = 29

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