What is the answer to 4/(x-3)+5=2 ?

The answer to 4/(x-3)+5=2 is x= 5/3

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4/(x-3)+5=2

\frac{4}{x - 3} + 5 = 2

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

\frac{4}{x - 3} + 5 = 2

Move

5

to the right side

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

Multiply both sides by

x - 3

4 = - 3 (x - 3)

Switch sides

- 3 (x - 3) = 4

Divide both sides by

- 3

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

Move

3

to the right side

x = \frac{5}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{5}{3}

\frac{- 3}{x - 3} + \frac{2}{x + 7} = 1

x = \frac{y}{y + 4}, y

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

u, S = \frac{u}{a u + v}

\frac{5}{y + 4} = 4 + \frac{3}{y - 2}