What is the answer to 8/3 =(2x)/(3x-15) ?

The answer to 8/3 =(2x)/(3x-15) is x= 20/3

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8/3 =(2x)/(3x-15)

\frac{8}{3} = \frac{2 x}{3 x - 15}

x = \frac{20}{3}

Decimal Notation

x = 6.66666 \dots

Solution steps

\frac{8}{3} = \frac{2 x}{3 x - 15}

Cross multiply

24 x - 120 = 6 x

Move

120

to the right side

24 x = 6 x + 120

Move

6 x

to the left side

18 x = 120

Divide both sides by

18

x = \frac{20}{3}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{20}{3}

7 = \frac{x ^{2 + 10}}{x}

\frac{5 - 6 x}{x ^{2} - 9} = 0

y, x = \frac{2}{3 y - 5}

x, 0 = 2 x - (3 - x)^{- 1}

\frac{8}{a x} - 5 = 3

What is the answer to 8/3 =(2x)/(3x-15) ?
The answer to 8/3 =(2x)/(3x-15) is x= 20/3
Solve for x: 8/3 =(2x)/(3x-15)
The solution is x= 20/3