Question

How many solutions does the equation have? 6-a = 1/3(9a-18)

Answer 1

6 - a = $\frac{1}{3}$ (9a - 18)

First, simplify $\frac{1}{3} (9a - 18)$ to $\frac{9a-18}{3}$ / Your problem should look like: $6 - a = \frac{9a - 18}{3}$
Second, multiply both sides by 3. / Your problem should look like: $18 - 3a = 9(a - 2)$
Third, expand. / Your problem should look like: $18 - 3a = 9a - 18$
Fourth, add 3a to both sides. / Your problem should look like: $18 = 9a - 18 + 3a$
Fifth, simplify 9a - 18 + 3a to 12a - 18. / Your problem should look like: $18 = 12a - 18$
Sixth, add 18 to both sides. / Your problem should look like: $18 + 18 = 12a$
Seventh, add 18 + 18 to get 36. / Your problem should look like: $36 = 12a$
Eighth, divide both sides by 12. / Your problem should look like: $\frac{36}{12} = a$
Ninth, since 3 goes into 12 to get 36, simplify $\frac{36}{12}$ to 3. / Your problem should look like: $3 = a$
Tenth, switch sides. / Your problem should look like: $a = 3$

Answer: a = 3 (one solution)