What is the answer to (4x+5)/(4-2x)= 9/2 ?

The answer to (4x+5)/(4-2x)= 9/2 is x=1

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(4x+5)/(4-2x)= 9/2

\frac{4 x + 5}{4 - 2 x} = \frac{9}{2}

x = 1

Solution steps

\frac{4 x + 5}{4 - 2 x} = \frac{9}{2}

Cross multiply

8 x + 10 = 36 - 18 x

Move

10

to the right side

8 x = - 18 x + 26

Move

18 x

to the left side

26 x = 26

Divide both sides by

26

x = 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 1

\frac{- 3 k + 18}{k} = 0

\frac{x - 3}{2} = \frac{8}{x + 3}

x, 3 = \frac{x + y}{x - y}

\frac{x + 1}{x} + \frac{1}{2} = 4

\frac{x}{x + 7} = \frac{6}{5}

What is the answer to (4x+5)/(4-2x)= 9/2 ?
The answer to (4x+5)/(4-2x)= 9/2 is x=1
Solve for x: (4x+5)/(4-2x)= 9/2
The solution is x=1