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

The answer to 4/5 b+2= 1/2 (2/5-b) is b=-18/13

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4/5 b+2= 1/2 (2/5-b)

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

b = - \frac{18}{13}

Decimal Notation

b = - 1.38461 \dots

Solution steps

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

Expand

\frac{1}{2} (\frac{2}{5} - b) : \frac{1}{5} - \frac{1}{2} b

\frac{4}{5} b + 2 = \frac{1}{5} - \frac{1}{2} b

Move

2

to the right side

\frac{4}{5} b = - \frac{9}{5} - \frac{1}{2} b

Move

\frac{1}{2} b

to the left side

\frac{13}{10} b = - \frac{9}{5}

Multiply both sides by

10

13 b = - 18

Divide both sides by

13

b = - \frac{18}{13}

\frac{25 x}{20} + 4 x - \frac{13}{15} = \frac{7 x}{3} + \frac{4 x - 5}{8}

5 (v + 1) - 7 = 3 (v - 1) + 2 v

\frac{3}{2} p - 14 = p + 13

b (x) = 75 - 10 x

x, 4 x - y = 24

What is the answer to 4/5 b+2= 1/2 (2/5-b) ?
The answer to 4/5 b+2= 1/2 (2/5-b) is b=-18/13
Solve for b: 4/5 b+2= 1/2 (2/5-b)
The solution is b=-18/13