What is the answer to (4-x)/(5-x)= 3/7 ?

The answer to (4-x)/(5-x)= 3/7 is x= 13/4

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(4-x)/(5-x)= 3/7

\frac{4 - x}{5 - x} = \frac{3}{7}

x = \frac{13}{4}

Decimal Notation

x = 3.25

Solution steps

\frac{4 - x}{5 - x} = \frac{3}{7}

Cross multiply

28 - 7 x = 15 - 3 x

Move

28

to the right side

- 7 x = - 3 x - 13

Move

3 x

to the left side

- 4 x = - 13

Divide both sides by

- 4

x = \frac{13}{4}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{13}{4}

\frac{5}{x} = \frac{125}{3}

x, a = \frac{b}{p - x}

x, t = \frac{5}{x + 3} - 1

\frac{( - 7 )}{x} = \frac{2 x}{8}

B, 0.3 = \frac{B}{A + 2 B}

What is the answer to (4-x)/(5-x)= 3/7 ?
The answer to (4-x)/(5-x)= 3/7 is x= 13/4
Solve for x: (4-x)/(5-x)= 3/7
The solution is x= 13/4