What is the answer to (3x+1)/(x+4)=2 ?

The answer to (3x+1)/(x+4)=2 is x=7

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(3x+1)/(x+4)=2

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

x = 7

Solution steps

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

Multiply both sides by

x + 4

3 x + 1 = 2 (x + 4)

Expand

2 (x + 4) : 2 x + 8

3 x + 1 = 2 x + 8

Move

1

to the right side

3 x = 2 x + 7

Move

2 x

to the left side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = 7

5 = \frac{40}{x}

295 = 4 8^{2} \frac{( 8 + x )}{11 x + 24}

\frac{42}{t} = 7

\frac{x + 1}{x - 1} = \frac{10}{5}

\frac{x ^{4} - 1}{x - 1} = 0