What is the answer to (-1.2)/(x+7)=7.24 ?

The answer to (-1.2)/(x+7)=7.24 is x=-1297/181

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(-1.2)/(x+7)=7.24

\frac{- 1.2}{x + 7} = 7.24

x = - \frac{1297}{181}

Decimal Notation

x = - 7.16574 \dots

Solution steps

\frac{- 1.2}{x + 7} = 7.24

Simplify

\frac{- 1.2}{x + 7} : - \frac{1.2}{x + 7}

- \frac{1.2}{x + 7} = 7.24

Multiply both sides by

x + 7

- 1.2 = 7.24 (x + 7)

Switch sides

7.24 (x + 7) = - 1.2

Multiply both sides by

100

724 (x + 7) = - 120

Divide both sides by

724

x + 7 = - \frac{30}{181}

Move

7

to the right side

x = - \frac{1297}{181}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - \frac{1297}{181}

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x^{- 5} = 243

\frac{( 0.2 x + 5 )}{( 3.5 x - 3 )} = \frac{2}{5}

\frac{4}{( x ^{2} + x + 3 )} + \frac{5}{( x ^{2} - 5 x + 3 )} + \frac{3}{2} x = 0

What is the answer to (-1.2)/(x+7)=7.24 ?
The answer to (-1.2)/(x+7)=7.24 is x=-1297/181
Solve for x: (-1.2)/(x+7)=7.24
The solution is x=-1297/181