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

The answer to 1/3 x+1/5 =-(2/3-3/5 x) is x= 13/4

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

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

x = \frac{13}{4}

Decimal Notation

x = 3.25

Solution steps

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

Expand

- (\frac{2}{3} - \frac{3}{5} x) : - \frac{2}{3} + \frac{3}{5} x

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

Move

\frac{1}{5}

to the right side

\frac{1}{3} x = - \frac{13}{15} + \frac{3}{5} x

Move

\frac{3}{5} x

to the left side

- \frac{4}{15} x = - \frac{13}{15}

Multiply both sides by

15

- 4 x = - 13

Divide both sides by

- 4

x = \frac{13}{4}

\frac{n + 7}{4} = \frac{2 n - 1}{2}

y, x = 7 - 2 y

2 (y - 7) - 4 (5 - 3 y) = 2 (4 y - 1) + 5 (1 + 2 y)

- 1 = - 1 - 6 y - 1 - 6 y

y, 2 x - 3 y = 7

What is the answer to 1/3 x+1/5 =-(2/3-3/5 x) ?
The answer to 1/3 x+1/5 =-(2/3-3/5 x) is x= 13/4
Solve for x: 1/3 x+1/5 =-(2/3-3/5 x)
The solution is x= 13/4