What is the answer to (a-3)/2 =(a+6)/3 ?

The answer to (a-3)/2 =(a+6)/3 is a=21

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(a-3)/2 =(a+6)/3

\frac{a - 3}{2} = \frac{a + 6}{3}

a = 21

Solution steps

\frac{a - 3}{2} = \frac{a + 6}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(a - 3) \cdot 3 = 2 (a + 6)

Expand

(a - 3) \cdot 3 : 3 a - 9

Expand

2 (a + 6) : 2 a + 12

3 a - 9 = 2 a + 12

Move

9

to the right side

3 a = 2 a + 21

Move

2 a

to the left side

a = 21

- 4 (x + 4) = 2 (x + 1)

- \frac{1}{4} x + 3 \geq 1

\frac{1}{3 ^{- 3}}

\frac{3}{5} \cdot \frac{4}{7} \cdot \frac{1}{3}

\frac{( 1 + i )}{i} - \frac{4}{6 - i}