x*10-125=x*5-5

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Solution for x*10-125=x*5-5 equation:


Simplifying
x * 10 + -125 = x * 5 + -5

Reorder the terms for easier multiplication:
10x + -125 = x * 5 + -5

Reorder the terms:
-125 + 10x = x * 5 + -5

Reorder the terms for easier multiplication:
-125 + 10x = 5x + -5

Reorder the terms:
-125 + 10x = -5 + 5x

Solving
-125 + 10x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-125 + 10x + -5x = -5 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-125 + 5x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-125 + 5x = -5 + 0
-125 + 5x = -5

Add '125' to each side of the equation.
-125 + 125 + 5x = -5 + 125

Combine like terms: -125 + 125 = 0
0 + 5x = -5 + 125
5x = -5 + 125

Combine like terms: -5 + 125 = 120
5x = 120

Divide each side by '5'.
x = 24

Simplifying
x = 24

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