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

The answer to 6/5 w=3-3(1/2 w+3/2) is w=-5/9

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6/5 w=3-3(1/2 w+3/2)

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

w = - \frac{5}{9}

Decimal Notation

w = - 0.55555 \dots

Solution steps

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

Expand

3 - 3 (\frac{1}{2} w + \frac{3}{2}) : - \frac{3}{2} - \frac{3}{2} w

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

Move

\frac{3}{2} w

to the left side

\frac{27}{10} w = - \frac{3}{2}

Multiply both sides by

10

27 w = - 15

Divide both sides by

27

w = - \frac{5}{9}

y, \frac{y}{3} = x

x + 2 = 16 - 3 x

1 - 4 a = - 18

x, 4 x - 2 y = 1

2 x - 7 = 3

What is the answer to 6/5 w=3-3(1/2 w+3/2) ?
The answer to 6/5 w=3-3(1/2 w+3/2) is w=-5/9
Solve for w: 6/5 w=3-3(1/2 w+3/2)
The solution is w=-5/9