What is the answer to (24)/(3+2x-8)=27+13 ?

The answer to (24)/(3+2x-8)=27+13 is x= 14/5

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(24)/(3+2x-8)=27+13

\frac{24}{3 + 2 x - 8} = 27 + 13

x = \frac{14}{5}

Decimal Notation

x = 2.8

Solution steps

\frac{24}{3 + 2 x - 8} = 27 + 13

Simplify

\frac{24}{3 + 2 x - 8} : \frac{24}{2 x - 5}

\frac{24}{2 x - 5} = 27 + 13

Multiply both sides by

2 x - 5

24 = 27 (2 x - 5) + 13 (2 x - 5)

Simplify

27 (2 x - 5) + 13 (2 x - 5) : 40 (2 x - 5)

24 = 40 (2 x - 5)

Switch sides

40 (2 x - 5) = 24

Divide both sides by

40

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

Move

5

to the right side

2 x = \frac{28}{5}

Divide both sides by

2

x = \frac{14}{5}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{2}

Combine undefined points with solutions:

x = \frac{14}{5}

4 + \frac{6}{x - 5} = \frac{2}{x - 5}

\frac{- 4}{x - 4} = 1 - \frac{2}{x + 8}

\frac{x}{( x + 3 ) ( x + 1 )} = 0

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

\frac{x - 2}{x + 4} = \frac{1}{3}

What is the answer to (24)/(3+2x-8)=27+13 ?
The answer to (24)/(3+2x-8)=27+13 is x= 14/5
Solve for x: (24)/(3+2x-8)=27+13
The solution is x= 14/5