What is the answer to (x-6)/x =(x+4)/x+1 ?

The answer to (x-6)/x =(x+4)/x+1 is x=-10

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(x-6)/x =(x+4)/x+1

\frac{x - 6}{x} = \frac{x + 4}{x} + 1

x = - 10

Solution steps

\frac{x - 6}{x} = \frac{x + 4}{x} + 1

Multiply both sides by

x

x - 6 = 2 x + 4

Move

6

to the right side

x = 2 x + 10

Move

2 x

to the left side

- x = 10

Divide both sides by

- 1

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 10

\frac{1}{x} = 1

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

\frac{a - c}{x - a} = m

[(\frac{900}{x}) - 9] (x + 5) = 900

\frac{3 x + 7}{x + 3} = \frac{7}{2}

What is the answer to (x-6)/x =(x+4)/x+1 ?
The answer to (x-6)/x =(x+4)/x+1 is x=-10
Solve for x: (x-6)/x =(x+4)/x+1
The solution is x=-10