What is the answer to 2/(3(12x-18))=4 ?

The answer to 2/(3(12x-18))=4 is x= 109/72

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2/(3(12x-18))=4

\frac{2}{3 ( 12 x - 18 )} = 4

x = \frac{109}{72}

Decimal Notation

x = 1.51388 \dots

Solution steps

\frac{2}{3 ( 12 x - 18 )} = 4

Simplify

\frac{2}{3 ( 12 x - 18 )} : \frac{1}{9 ( 2 x - 3 )}

\frac{1}{9 ( 2 x - 3 )} = 4

Multiply both sides by

9 (2 x - 3)

1 = 36 (2 x - 3)

Switch sides

36 (2 x - 3) = 1

Divide both sides by

36

2 x - 3 = \frac{1}{36}

Move

3

to the right side

2 x = \frac{109}{36}

Divide both sides by

2

x = \frac{109}{72}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{109}{72}

\frac{b - 10}{b - 9} = \frac{9}{7}

0 = 2 + \frac{1}{x + 4}

- \frac{15}{24} = \frac{12}{x}

2 \frac{84100}{y} + 3 y = 35000

\frac{1}{3} = \frac{5}{b} - 3

What is the answer to 2/(3(12x-18))=4 ?
The answer to 2/(3(12x-18))=4 is x= 109/72
Solve for x: 2/(3(12x-18))=4
The solution is x= 109/72