What is the answer to 1/3 (x+3)= 2/5 (x+2) ?

The answer to 1/3 (x+3)= 2/5 (x+2) is x=3

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1/3 (x+3)= 2/5 (x+2)

\frac{1}{3} (x + 3) = \frac{2}{5} (x + 2)

x = 3

Solution steps

\frac{1}{3} (x + 3) = \frac{2}{5} (x + 2)

Expand

\frac{1}{3} (x + 3) : \frac{1}{3} x + 1

Expand

\frac{2}{5} (x + 2) : \frac{2}{5} x + \frac{4}{5}

\frac{1}{3} x + 1 = \frac{2}{5} x + \frac{4}{5}

Move

1

to the right side

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

Move

\frac{2}{5} x

to the left side

- \frac{1}{15} x = - \frac{1}{5}

Multiply both sides by

- 15

x = 3

- 317 - 417

\frac{\frac{1}{2}}{\frac{3}{2}}

6 + 9

5 + \frac{3}{4} x = \frac{3}{8}

3 x + \frac{5}{3} = 9 x - \frac{1}{6}

What is the answer to 1/3 (x+3)= 2/5 (x+2) ?
The answer to 1/3 (x+3)= 2/5 (x+2) is x=3
Solve for x: 1/3 (x+3)= 2/5 (x+2)
The solution is x=3