Question

What is the value of a?
6 ( a + 2 ) + 3 = 3 ( 10 - 3a )

Answer 1

6(a + 2) + 3 = 3(10 - 3a)

First, expand. / Your problem should look like: $6a + 12 + 3 = 30 - 9a$
Second, add up 6a + 12 + 3 to get 6a + 15. / Your problem should look like: $6a + 15 = 30 - 9a$
Third, subtract 15 from both sides. / Your problem should look like: $6a = 30 - 9a - 15$
Fourth, subtract 30 - 9a - 15 to get -9a + 15. / Your problem should look like: $6a = -9a + 15$
Fifth, add 9a to both sides. / Your problem should look like: $6a + 9a = 15$
Sixth, add 6a + 9a to get 15a. / Your problem should look like: $15a = 15$
Seventh, divide both sides by 15. / Your problem should look like: $a = 1$

Answer: a = 1

Answer 2

6(a+2)+3=3(10−3a)

(6)(a)+(6)(2)+3=(3)(10)+(3)(−3a)(Distribute)

6a+12+3=30+−9a

(6a)+(12+3)=−9a+30(Combine Like Terms)

6a+15=−9a+30

6a+15=−9a+30

Add 9a to both sides.

6a+15+9a=−9a+30+9a

15a+15=30

Subtract 15 from both sides.

15a+15−15=30−15

15a=15

Divide both sides by 15.

15a/15=15/15

a=1