What is the answer to (2z)/(z+2)=4 ?

The answer to (2z)/(z+2)=4 is z=-4

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(2z)/(z+2)=4

\frac{2 z}{z + 2} = 4

z = - 4

Solution steps

\frac{2 z}{z + 2} = 4

Multiply both sides by

z + 2

2 z = 4 (z + 2)

Expand

4 (z + 2) : 4 z + 8

2 z = 4 z + 8

Move

4 z

to the left side

- 2 z = 8

Divide both sides by

- 2

z = - 4

Verify Solutions

Find undefined (singularity) points:

z = - 2

Combine undefined points with solutions:

z = - 4

\frac{5.8}{x} - 62 = - 4

(x^{- 1})^{- 1} = x

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

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

\frac{x}{x - 4} = 6