What is the answer to ((x+1))/((2x+3))= 3/8 ?

The answer to ((x+1))/((2x+3))= 3/8 is x= 1/2

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((x+1))/((2x+3))= 3/8

\frac{( x + 1 )}{( 2 x + 3 )} = \frac{3}{8}

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{( x + 1 )}{( 2 x + 3 )} = \frac{3}{8}

Cross multiply

8 x + 8 = 6 x + 9

Move

8

to the right side

8 x = 6 x + 1

Move

6 x

to the left side

2 x = 1

Divide both sides by

2

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{3}{2}

Combine undefined points with solutions:

x = \frac{1}{2}

\frac{x + 1}{x} = \frac{10}{3}

\frac{2 x + 2}{x ^{2} + 2 x - 15} = \frac{1}{3}

\frac{3}{( 5 - x )} + \frac{2}{( 4 - x )} = \frac{8}{( x + 2 )}

\frac{4}{∣ x + 1 ∣ - 2} = ∣ x + 1 ∣

\frac{- 5}{11} = \frac{5 b - 4}{2 b + 12}

What is the answer to ((x+1))/((2x+3))= 3/8 ?
The answer to ((x+1))/((2x+3))= 3/8 is x= 1/2
Solve for x: ((x+1))/((2x+3))= 3/8
The solution is x= 1/2