What is the answer to 7=(-5)/(6z-23) ?

The answer to 7=(-5)/(6z-23) is z= 26/7

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7=(-5)/(6z-23)

7 = \frac{- 5}{6 z - 23}

z = \frac{26}{7}

Decimal Notation

z = 3.71428 \dots

Solution steps

7 = \frac{- 5}{6 z - 23}

Simplify

\frac{- 5}{6 z - 23} : - \frac{5}{6 z - 23}

7 = - \frac{5}{6 z - 23}

Multiply both sides by

6 z - 23

7 (6 z - 23) = - 5

Divide both sides by

7

6 z - 23 = - \frac{5}{7}

Move

23

to the right side

6 z = \frac{156}{7}

Divide both sides by

6

z = \frac{26}{7}

Verify Solutions

Find undefined (singularity) points:

z = \frac{23}{6}

Combine undefined points with solutions:

z = \frac{26}{7}

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

\frac{5 x - 7}{x - 1} = x + 1

\frac{3 - x}{x - 5} = 6

\frac{4}{8} = \frac{2}{x}

\frac{x ^{2} ( x - 3 )}{( x - 1 ) ^{3}} = 0