What is the answer to (x-3}{x-4}+4=\frac{3x)/x ?

The answer to (x-3}{x-4}+4=\frac{3x)/x is x= 7/2

Popular >

(x-3}{x-4}+4=\frac{3x)/x

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

x = \frac{7}{2}

Decimal

x = 3.5

Solution steps

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

Simplify

\frac{3 x}{x} : 3

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

Multiply both sides by

x - 4

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

Expand

x - 3 + 4 (x - 4) : 5 x - 19

Expand

3 (x - 4) : 3 x - 12

5 x - 19 = 3 x - 12

Move

19

to the right side

5 x = 3 x + 7

Move

3 x

to the left side

2 x = 7

Divide both sides by

2

x = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 4, x = 0

Combine undefined points with solutions:

x = \frac{7}{2}

a, \frac{1}{a} = \frac{1}{b} + \frac{1}{c}

\frac{3}{x - 1} + \frac{2}{x} = 8

\frac{3 x ^{2} - 5 x}{3 x - 2} - 1 = \frac{2}{2 - 3 x}

G (x) = \frac{x ^{2} + 3 x - 5}{x + 6}

\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}

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