What is the answer to 1/4 x-1/5 (x-5)=5x ?

The answer to 1/4 x-1/5 (x-5)=5x is x= 20/99

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1/4 x-1/5 (x-5)=5x

\frac{1}{4} x - \frac{1}{5} (x - 5) = 5 x

x = \frac{20}{99}

Solution steps

\frac{1}{4} x - \frac{1}{5} (x - 5) = 5 x

Expand

\frac{1}{4} x - \frac{1}{5} (x - 5) : \frac{x}{20} + 1

\frac{x}{20} + 1 = 5 x

Move

1

to the right side

\frac{x}{20} = 5 x - 1

Multiply both sides by

20

x = 100 x - 20

Move

100 x

to the left side

- 99 x = - 20

Divide both sides by

- 99

x = \frac{20}{99}

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- 2 x^{2} - 4 x + 4 = 0

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What is the answer to 1/4 x-1/5 (x-5)=5x ?
The answer to 1/4 x-1/5 (x-5)=5x is x= 20/99
Solve for x: 1/4 x-1/5 (x-5)=5x
The solution is x= 20/99