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

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

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

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

q = - \frac{2}{3}

Decimal Notation

q = - 0.66666 \dots

Solution steps

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

Expand

\frac{1}{3} (\frac{3}{4} q + 5) : \frac{q}{4} + \frac{5}{3}

Expand

3 q - \frac{3}{2} (2 q - 1) : \frac{3}{2}

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

Move

\frac{5}{3}

to the right side

\frac{q}{4} = - \frac{1}{6}

Multiply both sides by

4

q = - \frac{2}{3}

x, 2 x + y + z = 180

8 = 9 - 5 x

(\frac{4 x}{5}) - (\frac{5}{3}) = (\frac{2 x}{6}) + (\frac{6}{9})

b, a = 2 b - 5 c

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

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