What is the answer to 5/2 =(4x+21)/(x-3) ?

The answer to 5/2 =(4x+21)/(x-3) is x=-19

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5/2 =(4x+21)/(x-3)

\frac{5}{2} = \frac{4 x + 21}{x - 3}

x = - 19

Solution steps

\frac{5}{2} = \frac{4 x + 21}{x - 3}

Cross multiply

5 x - 15 = 8 x + 42

Move

15

to the right side

5 x = 8 x + 57

Move

8 x

to the left side

- 3 x = 57

Divide both sides by

- 3

x = - 19

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 19

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

\frac{6}{2} = \frac{4}{p}

\frac{6 x}{x + 1} = 9 - \frac{6}{x + 1}

\frac{2}{7 x} + \frac{5}{49 x} = - 19

\frac{3}{x - 2} + \frac{1}{5} = 7

What is the answer to 5/2 =(4x+21)/(x-3) ?
The answer to 5/2 =(4x+21)/(x-3) is x=-19
Solve for x: 5/2 =(4x+21)/(x-3)
The solution is x=-19