What is the answer to x/(5-x)= 3/(20-4x) ?

The answer to x/(5-x)= 3/(20-4x) is x= 3/4

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x/(5-x)= 3/(20-4x)

\frac{x}{5 - x} = \frac{3}{20 - 4 x}

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

\frac{x}{5 - x} = \frac{3}{20 - 4 x}

Cross multiply

x (20 - 4 x) = (5 - x) \cdot 3

Solve

x (20 - 4 x) = (5 - x) \cdot 3 : x = \frac{3}{4}, x = 5

x = \frac{3}{4}, x = 5

Verify Solutions

Find undefined (singularity) points:

x = 5

Since the equation is undefined for:

5

x = \frac{3}{4}

\frac{2400}{x ^{3}} = 0

x^{- 1} - 8 x^{- 5} = 0

\frac{1}{x} = \frac{x}{x ^{2} + 1}

y, x = \frac{5 y - 1}{6 y - 4}

I, R = \frac{V}{I}

What is the answer to x/(5-x)= 3/(20-4x) ?
The answer to x/(5-x)= 3/(20-4x) is x= 3/4
Solve for x: x/(5-x)= 3/(20-4x)
The solution is x= 3/4