What is the answer to (b+3)/7 =(b-3)/6 ?

The answer to (b+3)/7 =(b-3)/6 is b=39

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(b+3)/7 =(b-3)/6

\frac{b + 3}{7} = \frac{b - 3}{6}

b = 39

Solution steps

\frac{b + 3}{7} = \frac{b - 3}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(b + 3) \cdot 6 = 7 (b - 3)

Expand

(b + 3) \cdot 6 : 6 b + 18

Expand

7 (b - 3) : 7 b - 21

6 b + 18 = 7 b - 21

Move

18

to the right side

6 b = 7 b - 39

Move

7 b

to the left side

- b = - 39

Divide both sides by

- 1

b = 39

\frac{1}{2} + x = \frac{2}{3}

7 (x + 2) = 28

\frac{2 x - 1}{- 6} = 13

20 (x - 1) = - 4 (5 - x) + 16 x

7 y - 4 (3 y - 5) = 80