What is the answer to (b+5)/3 =(b+8)/2 ?

The answer to (b+5)/3 =(b+8)/2 is b=-14

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(b+5)/3 =(b+8)/2

\frac{b + 5}{3} = \frac{b + 8}{2}

b = - 14

Solution steps

\frac{b + 5}{3} = \frac{b + 8}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(b + 5) \cdot 2 = 3 (b + 8)

Expand

(b + 5) \cdot 2 : 2 b + 10

Expand

3 (b + 8) : 3 b + 24

2 b + 10 = 3 b + 24

Move

10

to the right side

2 b = 3 b + 14

Move

3 b

to the left side

- b = 14

Divide both sides by

- 1

b = - 14

14 r - 7 = 14

\frac{t}{6} > 4

7 x + 8 = 15

∣ x - 9 ∣ = 7

2 x - 11 > - 21

What is the answer to (b+5)/3 =(b+8)/2 ?
The answer to (b+5)/3 =(b+8)/2 is b=-14
Solve for b: (b+5)/3 =(b+8)/2
The solution is b=-14