125(x-1)=25(2x-3)

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Solution for 125(x-1)=25(2x-3) equation:


Simplifying
125(x + -1) = 25(2x + -3)

Reorder the terms:
125(-1 + x) = 25(2x + -3)
(-1 * 125 + x * 125) = 25(2x + -3)
(-125 + 125x) = 25(2x + -3)

Reorder the terms:
-125 + 125x = 25(-3 + 2x)
-125 + 125x = (-3 * 25 + 2x * 25)
-125 + 125x = (-75 + 50x)

Solving
-125 + 125x = -75 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
-125 + 125x + -50x = -75 + 50x + -50x

Combine like terms: 125x + -50x = 75x
-125 + 75x = -75 + 50x + -50x

Combine like terms: 50x + -50x = 0
-125 + 75x = -75 + 0
-125 + 75x = -75

Add '125' to each side of the equation.
-125 + 125 + 75x = -75 + 125

Combine like terms: -125 + 125 = 0
0 + 75x = -75 + 125
75x = -75 + 125

Combine like terms: -75 + 125 = 50
75x = 50

Divide each side by '75'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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