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

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

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

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

x = \frac{1}{2}

Decimal

x = 0.5

Solution steps

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

Cross multiply

8 + 2 x = 12 - 6 x

Move

8

to the right side

2 x = - 6 x + 4

Move

6 x

to the left side

8 x = 4

Divide both sides by

8

x = \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{1}{2}

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

1 + \frac{1}{x} - \frac{1}{x ^{2}} = 0

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

6 = 9 - 90000 (\frac{1}{10000 + 3 t})

\frac{x}{x - 1} = x + 1

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