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

The answer to (X+4)/(2X-1)=2 is X=2

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(X+4)/(2X-1)=2

\frac{X + 4}{2 X - 1} = 2

X = 2

Solution steps

\frac{X + 4}{2 X - 1} = 2

Multiply both sides by

2 X - 1

X + 4 = 2 (2 X - 1)

Expand

2 (2 X - 1) : 4 X - 2

X + 4 = 4 X - 2

Move

4

to the right side

X = 4 X - 6

Move

4 X

to the left side

- 3 X = - 6

Divide both sides by

- 3

X = 2

Verify Solutions

Find undefined (singularity) points:

X = \frac{1}{2}

Combine undefined points with solutions:

X = 2

- 8 = \frac{2}{x}

4 x - 5 = \frac{3}{x}

\frac{1}{9} = \frac{10}{x}

8 = \frac{4}{x}

\frac{3 x}{x + 3} = 8 - \frac{9}{x + 3}