What is the answer to 1/(4(x-2)+4)=12 ?

The answer to 1/(4(x-2)+4)=12 is x= 49/48

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1/(4(x-2)+4)=12

\frac{1}{4 ( x - 2 ) + 4} = 12

x = \frac{49}{48}

Decimal Notation

x = 1.02083 \dots

Solution steps

\frac{1}{4 ( x - 2 ) + 4} = 12

Simplify

\frac{1}{4 ( x - 2 ) + 4} : \frac{1}{4 x - 4}

\frac{1}{4 x - 4} = 12

Multiply both sides by

4 x - 4

1 = 12 (4 x - 4)

Switch sides

12 (4 x - 4) = 1

Divide both sides by

12

4 x - 4 = \frac{1}{12}

Move

4

to the right side

4 x = \frac{49}{12}

Divide both sides by

4

x = \frac{49}{48}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{49}{48}

\frac{7}{2 x - 8} = \frac{3}{x - 6}

\frac{h - 4}{j} = k

\frac{2 x - 6}{8 - x} = - \frac{3}{4}

\frac{3}{2 + t} = \frac{1}{2}

3 = 2 + \frac{12}{x}

What is the answer to 1/(4(x-2)+4)=12 ?
The answer to 1/(4(x-2)+4)=12 is x= 49/48
Solve for x: 1/(4(x-2)+4)=12
The solution is x= 49/48