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

The answer to (2x-7)/(2x+4)= 2/3 is x= 29/2

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

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

x = \frac{29}{2}

Decimal Notation

x = 14.5

Solution steps

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

Cross multiply

6 x - 21 = 4 x + 8

Move

21

to the right side

6 x = 4 x + 29

Move

4 x

to the left side

2 x = 29

Divide both sides by

2

x = \frac{29}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{29}{2}

\frac{1}{x} - 3 = 0

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

1 + \frac{4 x}{x - 8} = \frac{7}{x - 8}

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

\frac{a ^{m}}{a ^{n}} = a^{m - n}

What is the answer to (2x-7)/(2x+4)= 2/3 ?
The answer to (2x-7)/(2x+4)= 2/3 is x= 29/2
Solve for x: (2x-7)/(2x+4)= 2/3
The solution is x= 29/2