What is the answer to 4/(x+3)= 3/10 ?

The answer to 4/(x+3)= 3/10 is x= 31/3

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4/(x+3)= 3/10

\frac{4}{x + 3} = \frac{3}{10}

x = \frac{31}{3}

Decimal Notation

x = 10.33333 \dots

Solution steps

\frac{4}{x + 3} = \frac{3}{10}

Cross multiply

40 = (x + 3) \cdot 3

Switch sides

(x + 3) \cdot 3 = 40

Divide both sides by

3

x + 3 = \frac{40}{3}

Move

3

to the right side

x = \frac{31}{3}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = \frac{31}{3}

\frac{112 + k}{112 + 2 k} = 0

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

2 x = 17 + \frac{55}{x}

r, I = \frac{E}{r + r}

3 x^{- 2} + x^{- 1} - 4 = 0