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

The answer to 2/(x-3)+1/4 =2 is x= 29/7

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

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

x = \frac{29}{7}

Decimal Notation

x = 4.14285 \dots

Solution steps

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

Multiply by LCM

x + 5 = 8 x - 24

Move

5

to the right side

x = 8 x - 29

Move

8 x

to the left side

- 7 x = - 29

Divide both sides by

- 7

x = \frac{29}{7}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{29}{7}

x - \frac{3 x + 1}{x + 9} = 3

\frac{2 x}{x ^{2} - 25} + \frac{4 - x}{x - 5} = 0

\frac{x ^{2} - 2 x + 1}{x ^{3} + x ^{2} - 2 x} = 1

\frac{100 - x}{x - 91} = \frac{17}{1}

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