What is the answer to 1/(2x+4)=7 1/2 ?

The answer to 1/(2x+4)=7 1/2 is x=-1 14/15

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1/(2x+4)=7 1/2

\frac{1}{2 x + 4} = 7 \frac{1}{2}

x = - 1 \frac{14}{15}

Decimal Notation

x = - 1.93333 \dots

Solution steps

\frac{1}{2 x + 4} = 7 \frac{1}{2}

Convert mixed numbers to improper fractions:

7 \frac{1}{2} = \frac{15}{2}

\frac{1}{2 x + 4} = \frac{15}{2}

Cross multiply

2 = (2 x + 4) \cdot 15

Switch sides

(2 x + 4) \cdot 15 = 2

Divide both sides by

15

2 x + 4 = \frac{2}{15}

Move

4

to the right side

2 x = - \frac{58}{15}

Divide both sides by

2

x = - \frac{29}{15}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{29}{15}

Convert improper fractions to mixed numbers:

\frac{29}{15} = 1 \frac{14}{15}

x = - 1 \frac{14}{15}

\frac{- 7}{y - 2} = - 4

\frac{250}{100} = \frac{0.5}{x}

\frac{3}{- 4 + 2 y} = \frac{5}{6}

2 = \frac{x + 7}{x - 6}

a, \frac{b}{a} = c + 3 b

What is the answer to 1/(2x+4)=7 1/2 ?
The answer to 1/(2x+4)=7 1/2 is x=-1 14/15
Solve for x: 1/(2x+4)=7 1/2
The solution is x=-1 14/15