What is the answer to (4-x)/(2+x)= 5/7 ?

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

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(4-x)/(2+x)= 5/7

\frac{4 - x}{2 + x} = \frac{5}{7}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{4 - x}{2 + x} = \frac{5}{7}

Cross multiply

28 - 7 x = 10 + 5 x

Move

28

to the right side

- 7 x = 5 x - 18

Move

5 x

to the left side

- 12 x = - 18

Divide both sides by

- 12

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{3 x ( 4 - x ) - 1}{2 - 24 - x} = 0

\frac{4}{6} = \frac{n - 7}{n - 9}

\frac{4}{x - 3} = \frac{2}{5 - x}

\frac{( n + 1 ) !}{( n - 2 ) !} = n^{3} - n

5 x^{- 2} - 9 x^{- 1} - 2 = 0

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