What is the answer to (10x)/(8-7x)=15 ?

The answer to (10x)/(8-7x)=15 is x= 24/23

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(10x)/(8-7x)=15

\frac{10 x}{8 - 7 x} = 15

x = \frac{24}{23}

Decimal Notation

x = 1.04347 \dots

Solution steps

\frac{10 x}{8 - 7 x} = 15

Multiply both sides by

8 - 7 x

10 x = 15 (8 - 7 x)

Expand

15 (8 - 7 x) : 120 - 105 x

10 x = 120 - 105 x

Move

105 x

to the left side

115 x = 120

Divide both sides by

115

x = \frac{24}{23}

Verify Solutions

Find undefined (singularity) points:

x = \frac{8}{7}

Combine undefined points with solutions:

x = \frac{24}{23}

x, - \frac{2}{x} + \frac{3}{y} = 9

0 = \frac{( 4 ( x - 7 ) ^{3} ( x - 5 ) )}{( x - 9 ) ^{9}}

\frac{- 3}{5 x ^{2} + 1} = 0

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

\frac{2 x + 4}{4 - 2 ( x - 3 )} = \frac{5 - 7 x}{2}

What is the answer to (10x)/(8-7x)=15 ?
The answer to (10x)/(8-7x)=15 is x= 24/23
Solve for x: (10x)/(8-7x)=15
The solution is x= 24/23