What is the answer to (6x-12)/3+4=(18)/x ?

The answer to (6x-12)/3+4=(18)/x is x=3,x=-3

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(6x-12)/3+4=(18)/x

\frac{6 x - 12}{3} + 4 = \frac{18}{x}

x = 3, x = - 3

Solution steps

\frac{6 x - 12}{3} + 4 = \frac{18}{x}

Simplify

\frac{6 x - 12}{3} : 2 (x - 2)

2 (x - 2) + 4 = \frac{18}{x}

Multiply both sides by

x

2 (x - 2) x + 4 x = 18

Solve

2 (x - 2) x + 4 x = 18 : x = 3, x = - 3

x = 3, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 3

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

\frac{2}{x} = \frac{x}{5 x - 12}

\frac{x ^{2} + 4 x}{x + 2} = \frac{2 x}{3}

135 = \frac{180 ( x - 2 )}{x}

\frac{3 x ^{2} + a x + a + 3}{x ^{2} + x - 2}

What is the answer to (6x-12)/3+4=(18)/x ?
The answer to (6x-12)/3+4=(18)/x is x=3,x=-3
Solve for x: (6x-12)/3+4=(18)/x
The solution is x=3,x=-3