What is the answer to 29/18+1/2 x=-5/3 (x+1/3) ?

The answer to 29/18+1/2 x=-5/3 (x+1/3) is x=-1

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29/18+1/2 x=-5/3 (x+1/3)

\frac{29}{18} + \frac{1}{2} x = - \frac{5}{3} (x + \frac{1}{3})

x = - 1

Solution steps

\frac{29}{18} + \frac{1}{2} x = - \frac{5}{3} (x + \frac{1}{3})

Expand

- \frac{5}{3} (x + \frac{1}{3}) : - \frac{5}{3} x - \frac{5}{9}

\frac{29}{18} + \frac{1}{2} x = - \frac{5}{3} x - \frac{5}{9}

Move

\frac{29}{18}

to the right side

\frac{1}{2} x = - \frac{13}{6} - \frac{5}{3} x

Move

\frac{5}{3} x

to the left side

\frac{13}{6} x = - \frac{13}{6}

Multiply both sides by

6

13 x = - 13

Divide both sides by

13

x = - 1

4 x - 3 + 2 x + 23 - x = 11 + 6 x + 19

x, 8 x + 10 y = - 30

x, y - 4 = - 2 (x - 6)

3 + 5 x = 5 (x + 2) - 7

3 x + 11 = 5

What is the answer to 29/18+1/2 x=-5/3 (x+1/3) ?
The answer to 29/18+1/2 x=-5/3 (x+1/3) is x=-1
Solve for x: 29/18+1/2 x=-5/3 (x+1/3)
The solution is x=-1