(x-1)*100=(x-1)*120

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Solution for (x-1)*100=(x-1)*120 equation:


Simplifying
(x + -1) * 100 = (x + -1) * 120

Reorder the terms:
(-1 + x) * 100 = (x + -1) * 120

Reorder the terms for easier multiplication:
100(-1 + x) = (x + -1) * 120
(-1 * 100 + x * 100) = (x + -1) * 120
(-100 + 100x) = (x + -1) * 120

Reorder the terms:
-100 + 100x = (-1 + x) * 120

Reorder the terms for easier multiplication:
-100 + 100x = 120(-1 + x)
-100 + 100x = (-1 * 120 + x * 120)
-100 + 100x = (-120 + 120x)

Solving
-100 + 100x = -120 + 120x

Solving for variable 'x'.

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

Add '-120x' to each side of the equation.
-100 + 100x + -120x = -120 + 120x + -120x

Combine like terms: 100x + -120x = -20x
-100 + -20x = -120 + 120x + -120x

Combine like terms: 120x + -120x = 0
-100 + -20x = -120 + 0
-100 + -20x = -120

Add '100' to each side of the equation.
-100 + 100 + -20x = -120 + 100

Combine like terms: -100 + 100 = 0
0 + -20x = -120 + 100
-20x = -120 + 100

Combine like terms: -120 + 100 = -20
-20x = -20

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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