What is the answer to (4x)/(3x-12)= 1/(x-4) ?

The answer to (4x)/(3x-12)= 1/(x-4) is x= 3/4

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(4x)/(3x-12)= 1/(x-4)

\frac{4 x}{3 x - 12} = \frac{1}{x - 4}

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

\frac{4 x}{3 x - 12} = \frac{1}{x - 4}

Cross multiply

4 x (x - 4) = 3 x - 12

Solve

4 x (x - 4) = 3 x - 12 : x = 4, x = \frac{3}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

x = \frac{3}{4}

x - \frac{3}{x - 7} = \frac{5}{x - 7}

\frac{1}{3} + \frac{1}{6} = \frac{1}{t}

x - \frac{2}{x - 3} = \frac{x - 1}{3 - x}

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

y, x = \frac{y + 1}{y - 2}

What is the answer to (4x)/(3x-12)= 1/(x-4) ?
The answer to (4x)/(3x-12)= 1/(x-4) is x= 3/4
Solve for x: (4x)/(3x-12)= 1/(x-4)
The solution is x= 3/4