What is the answer to (40)/(x-4)+7= 3/(x-4) ?

The answer to (40)/(x-4)+7= 3/(x-4) is x=-9/7

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(40)/(x-4)+7= 3/(x-4)

\frac{40}{x - 4} + 7 = \frac{3}{x - 4}

x = - \frac{9}{7}

Decimal Notation

x = - 1.28571 \dots

Solution steps

\frac{40}{x - 4} + 7 = \frac{3}{x - 4}

Multiply both sides by

x - 4

40 + 7 (x - 4) = 3

Move

40

to the right side

7 (x - 4) = - 37

Divide both sides by

7

x - 4 = - \frac{37}{7}

Move

4

to the right side

x = - \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = - \frac{9}{7}

4 x + \frac{4}{x} + 11 = 0

\frac{1}{x - 7} = \frac{2}{7}

y, x = \frac{2 y + 1}{y - 2}

\frac{( 5 x - 5 )}{2 x} = 10

\frac{x}{x} = 0

What is the answer to (40)/(x-4)+7= 3/(x-4) ?
The answer to (40)/(x-4)+7= 3/(x-4) is x=-9/7
Solve for x: (40)/(x-4)+7= 3/(x-4)
The solution is x=-9/7