What is the answer to 3/2-5/4 q+2/3 q-5/6 =-q ?

The answer to 3/2-5/4 q+2/3 q-5/6 =-q is q=-8/5

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3/2-5/4 q+2/3 q-5/6 =-q

\frac{3}{2} - \frac{5}{4} q + \frac{2}{3} q - \frac{5}{6} = - q

q = - \frac{8}{5}

Decimal Notation

q = - 1.6

Solution steps

\frac{3}{2} - \frac{5}{4} q + \frac{2}{3} q - \frac{5}{6} = - q

Group like terms

- \frac{5}{4} q + \frac{2}{3} q + \frac{3}{2} - \frac{5}{6} = - q

Combine the fractions

\frac{3}{2} - \frac{5}{6} : \frac{2}{3}

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

Move

\frac{2}{3}

to the right side

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

Move

q

to the left side

\frac{5}{12} q = - \frac{2}{3}

Multiply both sides by

12

5 q = - 8

Divide both sides by

5

q = - \frac{8}{5}

x, 5 x - y = 4

x, 3 x + 4 y = 2

- 2 \frac{1}{4} = r - \frac{4}{5}

4 x - 6 = 3 x + 14

3 (x - 4) + 10 = 13 - x

What is the answer to 3/2-5/4 q+2/3 q-5/6 =-q ?
The answer to 3/2-5/4 q+2/3 q-5/6 =-q is q=-8/5
Solve for q: 3/2-5/4 q+2/3 q-5/6 =-q
The solution is q=-8/5