What is the answer to b+1/2-b-2/3 =b+4/5+7/15 ?

The answer to b+1/2-b-2/3 =b+4/5+7/15 is b=-43/30

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b+1/2-b-2/3 =b+4/5+7/15

b + \frac{1}{2} - b - \frac{2}{3} = b + \frac{4}{5} + \frac{7}{15}

b = - \frac{43}{30}

Decimal Notation

b = - 1.43333 \dots

Solution steps

b + \frac{1}{2} - b - \frac{2}{3} = b + \frac{4}{5} + \frac{7}{15}

Subtract

b

from both sides

b + \frac{1}{2} - b - \frac{2}{3} - b = b + \frac{4}{5} + \frac{7}{15} - b

Simplify

\frac{1}{2} - b - \frac{2}{3} = \frac{4}{5} + \frac{7}{15}

Simplify

\frac{1}{2} - b - \frac{2}{3} : - b - \frac{1}{6}

Simplify

\frac{4}{5} + \frac{7}{15} : \frac{19}{15}

- b - \frac{1}{6} = \frac{19}{15}

Move

\frac{1}{6}

to the right side

- b = \frac{43}{30}

Divide both sides by

- 1

b = - \frac{43}{30}

\frac{x - 4.3}{5} = \frac{61}{2}

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

x, 4 x - y = z

6 x - (2 x + 1) = - (- 5) x + (- (- 2 x - 1))

(23 - x) mod 9 = 7

What is the answer to b+1/2-b-2/3 =b+4/5+7/15 ?
The answer to b+1/2-b-2/3 =b+4/5+7/15 is b=-43/30
Solve for b: b+1/2-b-2/3 =b+4/5+7/15
The solution is b=-43/30