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

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

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

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

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

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

Move

3

to the right side

\frac{4 x}{x - 2} = - 2

Multiply both sides by

x - 2

4 x = - 2 (x - 2)

Expand

- 2 (x - 2) : - 2 x + 4

4 x = - 2 x + 4

Move

2 x

to the left side

6 x = 4

Divide both sides by

6

x = \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{2}{3}

(12.2)^{2} = \frac{640}{m}

p, p^{- 1} + q^{- 1} = - 2

\frac{x + 3}{5 x - 2} = \frac{x}{x + 1}

\frac{10}{x + 3} + \frac{10}{3} = 6

166 = 40 (1 + \frac{0.05}{x})