What is the answer to 3/(7+x)= 17/7 ?

The answer to 3/(7+x)= 17/7 is x=-98/17

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3/(7+x)= 17/7

\frac{3}{7 + x} = \frac{17}{7}

x = - \frac{98}{17}

Decimal Notation

x = - 5.76470 \dots

Solution steps

\frac{3}{7 + x} = \frac{17}{7}

Cross multiply

21 = (7 + x) \cdot 17

Switch sides

(7 + x) \cdot 17 = 21

Divide both sides by

17

7 + x = \frac{21}{17}

Move

7

to the right side

x = - \frac{98}{17}

Verify Solutions

Find undefined (singularity) points:

x = - 7

Combine undefined points with solutions:

x = - \frac{98}{17}

\frac{x ^{3} - 8 x ^{3}}{( x + 2 ) ^{3}} = 7

x + \frac{1}{x} = 5, x^{2} + \frac{1}{( x ^{2} )} =, x^{3} + \frac{1}{( x ^{3} )}

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

\frac{( 5 + x )}{( 100 + x )} = 0.24

\frac{x}{2 ^{2 x + 3}} = 8^{5 + x}