What is the answer to 7/(x+1)=(4x-6)/(2x-3) ?

The answer to 7/(x+1)=(4x-6)/(2x-3) is x= 5/2

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7/(x+1)=(4x-6)/(2x-3)

\frac{7}{x + 1} = \frac{4 x - 6}{2 x - 3}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{7}{x + 1} = \frac{4 x - 6}{2 x - 3}

Simplify

\frac{4 x - 6}{2 x - 3} : 2

\frac{7}{x + 1} = 2

Multiply both sides by

x + 1

7 = 2 (x + 1)

Switch sides

2 (x + 1) = 7

Divide both sides by

2

x + 1 = \frac{7}{2}

Move

1

to the right side

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{21}{a + 2} = \frac{3}{a - 1}

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

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

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

\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}

What is the answer to 7/(x+1)=(4x-6)/(2x-3) ?
The answer to 7/(x+1)=(4x-6)/(2x-3) is x= 5/2
Solve for x: 7/(x+1)=(4x-6)/(2x-3)
The solution is x= 5/2