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

The answer to (x+6)/(x+2)=4 is x=-2/3

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

\frac{x + 6}{x + 2} = 4

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

\frac{x + 6}{x + 2} = 4

Multiply both sides by

x + 2

x + 6 = 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

x + 6 = 4 x + 8

Move

6

to the right side

x = 4 x + 2

Move

4 x

to the left side

- 3 x = 2

Divide both sides by

- 3

x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{2}{3}

a, u = \frac{k}{ab}

y, \frac{y - 1}{y} = x

4.644 = \frac{4 π ^{2}}{g}

\frac{3}{900} = \frac{4}{x}

\frac{2 x - 1}{3 x - 2} = \frac{9}{17}