What is the answer to 8/(x+2)-4=10 ?

The answer to 8/(x+2)-4=10 is x=-10/7

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8/(x+2)-4=10

\frac{8}{x + 2} - 4 = 10

x = - \frac{10}{7}

Decimal Notation

x = - 1.42857 \dots

Solution steps

\frac{8}{x + 2} - 4 = 10

Move

4

to the right side

\frac{8}{x + 2} = 14

Multiply both sides by

x + 2

8 = 14 (x + 2)

Switch sides

14 (x + 2) = 8

Divide both sides by

14

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

Move

2

to the right side

x = - \frac{10}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{10}{7}

28 + x = \frac{5}{9 ( 60 + x )}

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

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

\frac{1}{2 x ^{2}} = \frac{1}{4}

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