What is the answer to 5= 2/(3(8x-6)) ?

The answer to 5= 2/(3(8x-6)) is x= 23/30

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5= 2/(3(8x-6))

5 = \frac{2}{3 ( 8 x - 6 )}

x = \frac{23}{30}

Decimal Notation

x = 0.76666 \dots

Solution steps

5 = \frac{2}{3 ( 8 x - 6 )}

Simplify

\frac{2}{3 ( 8 x - 6 )} : \frac{1}{3 ( 4 x - 3 )}

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

Multiply both sides by

3 (4 x - 3)

15 (4 x - 3) = 1

Divide both sides by

15

4 x - 3 = \frac{1}{15}

Move

3

to the right side

4 x = \frac{46}{15}

Divide both sides by

4

x = \frac{23}{30}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{4}

Combine undefined points with solutions:

x = \frac{23}{30}

\frac{7}{2 x} = 3

\frac{X - 465}{X} = \frac{2}{5}

x + 3 (x - 2) = \frac{3 ( 2 x - 3 )}{x}

x^{- 1} + x - 2 = 0

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