x*1.25=(x-1)*1.25*5

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Solution for x*1.25=(x-1)*1.25*5 equation: 


Simplifying
x * 1.25 = (x + -1) * 1.25 * 5

Reorder the terms for easier multiplication:
1.25x = (x + -1) * 1.25 * 5

Reorder the terms:
1.25x = (-1 + x) * 1.25 * 5

Reorder the terms for easier multiplication:
1.25x = 1.25 * 5(-1 + x)

Multiply 1.25 * 5
1.25x = 6.25(-1 + x)
1.25x = (-1 * 6.25 + x * 6.25)
1.25x = (-6.25 + 6.25x)

Solving
1.25x = -6.25 + 6.25x

Solving for variable 'x'.

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

Add '-6.25x' to each side of the equation.
1.25x + -6.25x = -6.25 + 6.25x + -6.25x

Combine like terms: 1.25x + -6.25x = -5x
-5x = -6.25 + 6.25x + -6.25x

Combine like terms: 6.25x + -6.25x = 0.00
-5x = -6.25 + 0.00
-5x = -6.25

Divide each side by '-5'.
x = 1.25

Simplifying
x = 1.25

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