What is the answer to (2x+2)/(6x+8)=3 ?

The answer to (2x+2)/(6x+8)=3 is x=-11/8

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(2x+2)/(6x+8)=3

\frac{2 x + 2}{6 x + 8} = 3

x = - \frac{11}{8}

Decimal Notation

x = - 1.375

Solution steps

\frac{2 x + 2}{6 x + 8} = 3

Simplify

\frac{2 x + 2}{6 x + 8} : \frac{x + 1}{3 x + 4}

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

Multiply both sides by

3 x + 4

x + 1 = 3 (3 x + 4)

Expand

3 (3 x + 4) : 9 x + 12

x + 1 = 9 x + 12

Move

1

to the right side

x = 9 x + 11

Move

9 x

to the left side

- 8 x = 11

Divide both sides by

- 8

x = - \frac{11}{8}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{4}{3}

Combine undefined points with solutions:

x = - \frac{11}{8}

x = \frac{1}{x} + 1

\frac{1.4}{1} = \frac{2}{x}

0.0285 = \frac{1}{1 + x}

\frac{8 x}{x + 1} = 6 - \frac{8}{x + 1}

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

What is the answer to (2x+2)/(6x+8)=3 ?
The answer to (2x+2)/(6x+8)=3 is x=-11/8
Solve for x: (2x+2)/(6x+8)=3
The solution is x=-11/8