What is the answer to (3x-26)/7 =(-5)/x ?

The answer to (3x-26)/7 =(-5)/x is x=7,x= 5/3

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(3x-26)/7 =(-5)/x

\frac{3 x - 26}{7} = \frac{- 5}{x}

x = 7, x = \frac{5}{3}

Decimal Notation

x = 7, x = 1.66666 \dots

Solution steps

\frac{3 x - 26}{7} = \frac{- 5}{x}

Cross multiply

(3 x - 26) x = - 35

Solve

(3 x - 26) x = - 35 : x = 7, x = \frac{5}{3}

x = 7, x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = \frac{5}{3}

- \frac{1}{x ^{2} + 1} = 0

\frac{9}{2 x} = \frac{7}{2 x} + 2

\frac{1}{x + 3} - \frac{1}{x + 4} = \frac{1}{6}

\frac{1}{4 - 3 x} = \frac{5}{x}

\frac{4 x}{x - 3} = 2 + \frac{12}{x - 3}

What is the answer to (3x-26)/7 =(-5)/x ?
The answer to (3x-26)/7 =(-5)/x is x=7,x= 5/3
Solve for x: (3x-26)/7 =(-5)/x
The solution is x=7,x= 5/3