What is the answer to 3/5 q= 2/5 q-1/2 (2/5 q-6) ?

The answer to 3/5 q= 2/5 q-1/2 (2/5 q-6) is q= 15/2

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3/5 q= 2/5 q-1/2 (2/5 q-6)

\frac{3}{5} q = \frac{2}{5} q - \frac{1}{2} (\frac{2}{5} q - 6)

q = \frac{15}{2}

Decimal Notation

q = 7.5

Solution steps

\frac{3}{5} q = \frac{2}{5} q - \frac{1}{2} (\frac{2}{5} q - 6)

\frac{1}{2} (\frac{2}{5} q - 6) = \frac{\frac{2}{5} q - 6}{2}

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

Multiply by LCM

6 q = 4 q - 2 (q - 15)

Expand

- 2 (q - 15) : - 2 q + 30

6 q = 4 q - 2 q + 30

Add similar elements:

4 q - 2 q = 2 q

6 q = 2 q + 30

Move

2 q

to the left side

4 q = 30

Divide both sides by

4

q = \frac{15}{2}

x, 3 x + 2 y = - 2

- x + 1 = - 8

- 4 x - 10 = - 74

3 (2 k - 5) = 6 (k - 4) + 9

- 3 (x - 1) = 9

What is the answer to 3/5 q= 2/5 q-1/2 (2/5 q-6) ?
The answer to 3/5 q= 2/5 q-1/2 (2/5 q-6) is q= 15/2
Solve for q: 3/5 q= 2/5 q-1/2 (2/5 q-6)
The solution is q= 15/2