What is the answer to (4x)/((2x+2)+6)=24 ?

The answer to (4x)/((2x+2)+6)=24 is x=-48/11

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(4x)/((2x+2)+6)=24

\frac{4 x}{( 2 x + 2 ) + 6} = 24

x = - \frac{48}{11}

Decimal Notation

x = - 4.36363 \dots

Solution steps

\frac{4 x}{( 2 x + 2 ) + 6} = 24

Simplify

\frac{4 x}{( 2 x + 2 ) + 6} : \frac{2 x}{x + 4}

\frac{2 x}{x + 4} = 24

Multiply both sides by

x + 4

2 x = 24 (x + 4)

Expand

24 (x + 4) : 24 x + 96

2 x = 24 x + 96

Move

24 x

to the left side

- 22 x = 96

Divide both sides by

- 22

x = - \frac{48}{11}

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - \frac{48}{11}

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

\frac{2 x}{x ^{2} + 9} = 0

\frac{2}{x - 1} = \frac{x + 4}{3}

1 + \frac{3}{x - 1} = \frac{x + 5}{x ^{2} - 1}

\frac{4}{x - 13} = \frac{9}{x + 13}

What is the answer to (4x)/((2x+2)+6)=24 ?
The answer to (4x)/((2x+2)+6)=24 is x=-48/11
Solve for x: (4x)/((2x+2)+6)=24
The solution is x=-48/11