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

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

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

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

w = - \frac{5}{9}

Decimal Notation

w = - 0.55555 \dots

Solution steps

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

Expand

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

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

Move

\frac{w}{2}

to the left side

- \frac{9 w}{10} = - \frac{3}{2} + 2

Multiply both sides by

10

- 9 w = 5

Divide both sides by

- 9

w = - \frac{5}{9}

5 y + 1 = 31

24 = 3 x

\frac{t + 10}{- 2} = 5

g, lo g_{10} (x) (4 x - 3) = 2

t, D = r t

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