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

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

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

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

x = - \frac{21}{2}

Decimal Notation

x = - 10.5

Solution steps

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

Cross multiply

4 x - 12 = 6 x + 9

Move

12

to the right side

4 x = 6 x + 21

Move

6 x

to the left side

- 2 x = 21

Divide both sides by

- 2

x = - \frac{21}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - \frac{21}{2}

y, x = \frac{y}{y - 1}

\frac{x - 0.8}{x + 0.2} = \frac{1}{2}

5 x^{- 2} + 13 x^{- 1} = 28

\frac{1}{8} + \frac{1}{12} = \frac{1}{x}

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

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