What is the answer to (4x+8)/3 = 4/x ?

The answer to (4x+8)/3 = 4/x is x=1,x=-3

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(4x+8)/3 = 4/x

\frac{4 x + 8}{3} = \frac{4}{x}

x = 1, x = - 3

Solution steps

\frac{4 x + 8}{3} = \frac{4}{x}

Cross multiply

(4 x + 8) x = 12

Solve

(4 x + 8) x = 12 : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 3

x + 2 = \frac{5 - x}{x}

\frac{2 x}{x + 3} = 4 - \frac{6}{x + 3}

\frac{7}{4 x - 1} = \frac{2}{x + 1}

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

y, x = \frac{7}{y}