What is the answer to ((2x-3))/((4x+5))= 1/3 ?

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

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((2x-3))/((4x+5))= 1/3

\frac{( 2 x - 3 )}{( 4 x + 5 )} = \frac{1}{3}

x = 7

Solution steps

\frac{( 2 x - 3 )}{( 4 x + 5 )} = \frac{1}{3}

Cross multiply

6 x - 9 = 4 x + 5

Move

9

to the right side

6 x = 4 x + 14

Move

4 x

to the left side

2 x = 14

Divide both sides by

2

x = 7

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{4}

Combine undefined points with solutions:

x = 7

\frac{a ^{3} ( 2 a - x )}{2 ( a - x ) ^{2}} = 3 a^{2}

\frac{x}{x} = 2 n^{2} + 1 -, 3 < n < 3

x, \frac{1}{x} + \frac{y}{3} = \frac{5}{6}

\frac{1}{y} + \frac{2}{y} = \frac{3}{y}

x, y = \frac{( 2 y + x )}{x}

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