SOLUTION: Solve Each Equation. Check your answer. I'm confused, and was absent for this assignment! Please help. Thanks in advance! 3(q+5)=2(q+5)

Algebra ->  Expressions-with-variables -> SOLUTION: Solve Each Equation. Check your answer. I'm confused, and was absent for this assignment! Please help. Thanks in advance! 3(q+5)=2(q+5)      Log On


   



Question 654846: Solve Each Equation. Check your answer.
I'm confused, and was absent for this assignment! Please help. Thanks in advance!
3(q+5)=2(q+5)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What you missed is a lesson on the "distributive law"
In simple terms, it is:
+a%2A%28+b+%2B+c+%2B+d+%29+=+a%2Ab+%2B+a%2Ac+%2B+a%2Ad+
--------------
+3%2A%28+q%2B5+%29++=+2%2A%28+q+%2B+5+%29+
Using the rule:
+3q+%2B+15+=+2q+%2B+10+
Subtract +2q+ from both sides
+q+%2B+15+=+10+
Subtract +15+ from both sides
+q+=+-5+ answer
check:
+3%2A%28+q%2B5+%29++=+2%2A%28+q+%2B+5+%29+
+3%2A%28+-5%2B5+%29++=+2%2A%28+-5+%2B+5+%29+
+0+=+0+