x*.08=((x-1)*.08)*5

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Solution for x*.08=((x-1)*.08)*5 equation:


Simplifying
x * 0.08 = ((x + -1) * 0.08) * 5

Reorder the terms for easier multiplication:
0.08x = ((x + -1) * 0.08) * 5

Reorder the terms:
0.08x = ((-1 + x) * 0.08) * 5

Reorder the terms for easier multiplication:
0.08x = (0.08(-1 + x)) * 5
0.08x = ((-1 * 0.08 + x * 0.08)) * 5
0.08x = ((-0.08 + 0.08x)) * 5

Reorder the terms for easier multiplication:
0.08x = 5(-0.08 + 0.08x)
0.08x = (-0.08 * 5 + 0.08x * 5)
0.08x = (-0.4 + 0.4x)

Solving
0.08x = -0.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.08x + -0.4x = -0.4 + 0.4x + -0.4x

Combine like terms: 0.08x + -0.4x = -0.32x
-0.32x = -0.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.32x = -0.4 + 0.0
-0.32x = -0.4

Divide each side by '-0.32'.
x = 1.25

Simplifying
x = 1.25

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