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

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


Simplifying
x * 0.1 = ((x + -1) * 0.1) * 5

Reorder the terms for easier multiplication:
0.1x = ((x + -1) * 0.1) * 5

Reorder the terms:
0.1x = ((-1 + x) * 0.1) * 5

Reorder the terms for easier multiplication:
0.1x = (0.1(-1 + x)) * 5
0.1x = ((-1 * 0.1 + x * 0.1)) * 5
0.1x = ((-0.1 + 0.1x)) * 5

Reorder the terms for easier multiplication:
0.1x = 5(-0.1 + 0.1x)
0.1x = (-0.1 * 5 + 0.1x * 5)
0.1x = (-0.5 + 0.5x)

Solving
0.1x = -0.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.1x + -0.5x = -0.5 + 0.5x + -0.5x

Combine like terms: 0.1x + -0.5x = -0.4x
-0.4x = -0.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.4x = -0.5 + 0.0
-0.4x = -0.5

Divide each side by '-0.4'.
x = 1.25

Simplifying
x = 1.25

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