(.25x)-(.20(x-8))=5x

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Solution for (.25x)-(.20(x-8))=5x equation:


Simplifying
(0.25x) + -1(0.20(x + -8)) = 5x

Reorder the terms:
(0.25x) + -1(0.20(-8 + x)) = 5x
(0.25x) + -1((-8 * 0.20 + x * 0.20)) = 5x
(0.25x) + -1((-1.6 + 0.20x)) = 5x
(0.25x) + (-1.6 * -1 + 0.20x * -1) = 5x
(0.25x) + (1.6 + -0.2x) = 5x

Reorder the terms:
1.6 + (0.25x) + -0.2x = 5x

Combine like terms: (0.25x) + -0.2x = 0.05x
1.6 + 0.05x = 5x

Solving
1.6 + 0.05x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.6 + 0.05x + -5x = 5x + -5x

Combine like terms: 0.05x + -5x = -4.95x
1.6 + -4.95x = 5x + -5x

Combine like terms: 5x + -5x = 0
1.6 + -4.95x = 0

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -4.95x = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -4.95x = 0 + -1.6
-4.95x = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-4.95x = -1.6

Divide each side by '-4.95'.
x = 0.3232323232

Simplifying
x = 0.3232323232

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