45(5x-5)=25(x-1)

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Solution for 45(5x-5)=25(x-1) equation:


Simplifying
45(5x + -5) = 25(x + -1)

Reorder the terms:
45(-5 + 5x) = 25(x + -1)
(-5 * 45 + 5x * 45) = 25(x + -1)
(-225 + 225x) = 25(x + -1)

Reorder the terms:
-225 + 225x = 25(-1 + x)
-225 + 225x = (-1 * 25 + x * 25)
-225 + 225x = (-25 + 25x)

Solving
-225 + 225x = -25 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-225 + 225x + -25x = -25 + 25x + -25x

Combine like terms: 225x + -25x = 200x
-225 + 200x = -25 + 25x + -25x

Combine like terms: 25x + -25x = 0
-225 + 200x = -25 + 0
-225 + 200x = -25

Add '225' to each side of the equation.
-225 + 225 + 200x = -25 + 225

Combine like terms: -225 + 225 = 0
0 + 200x = -25 + 225
200x = -25 + 225

Combine like terms: -25 + 225 = 200
200x = 200

Divide each side by '200'.
x = 1

Simplifying
x = 1

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