What is the answer to 5/4 q= 1/3 q-2/3+2 ?

The answer to 5/4 q= 1/3 q-2/3+2 is q= 16/11

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5/4 q= 1/3 q-2/3+2

\frac{5}{4} q = \frac{1}{3} q - \frac{2}{3} + 2

q = \frac{16}{11}

Decimal Notation

q = 1.45454 \dots

Solution steps

\frac{5}{4} q = \frac{1}{3} q - \frac{2}{3} + 2

Combine the fractions

2 - \frac{2}{3} : \frac{4}{3}

\frac{5}{4} q = \frac{4}{3} + \frac{1}{3} q

Move

\frac{1}{3} q

to the left side

\frac{11}{12} q = \frac{4}{3}

Multiply both sides by

12

11 q = 16

Divide both sides by

11

q = \frac{16}{11}

2 e - 3 - \frac{1}{5} e = \frac{7}{5} + 3 e + 4

3 x + 2 = x + 4 (x + 2)

5 (x + 10) = 125

8 - 5 (- 10 w - 8) = - 2 (- 8 w - 7)

x, 5 x + 4 y = - 20

What is the answer to 5/4 q= 1/3 q-2/3+2 ?
The answer to 5/4 q= 1/3 q-2/3+2 is q= 16/11
Solve for q: 5/4 q= 1/3 q-2/3+2
The solution is q= 16/11