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

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

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(b+3)/4 =(b-1)/2

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

b = 5

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(b + 3) \cdot 2 = 4 (b - 1)

Expand

(b + 3) \cdot 2 : 2 b + 6

Expand

4 (b - 1) : 4 b - 4

2 b + 6 = 4 b - 4

Move

6

to the right side

2 b = 4 b - 10

Move

4 b

to the left side

- 2 b = - 10

Divide both sides by

- 2

b = 5

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

\frac{3 x - 1}{5} = \frac{x - 1}{3}

E = 10 g h

- (x + 12) = - 3 x + 2

h (p) = \frac{p - 5}{p ^{2} + 5}