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

- \frac{11}{2} = \frac{22}{x}

\frac{F}{5 n ^{3}} + h = g

\frac{x ^{2} - 1}{x ^{2}} = 0

1 - \frac{1}{x} = - 6 x

\frac{x + 1}{x - 7} = \frac{5}{7}