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Mathematics 12 Online
OpenStudy (diamond77108):

5(a-1)-15=3(a+2)+4

alones (alones):

alright start from simplifying first Distribute and combine like terms can you do that

OpenStudy (diamond77108):

ok do i subtract 5 from fifteen to get -10

OpenStudy (mathstudent55):

The 5 on the left side is multiplying a - 1, so you can't combine it with the -15. You need to start by using the distributive property on both sides on 5(a - 1) and on 3(a + 2)

OpenStudy (mathstudent55):

Do you know how to use the distributive property to simplify 5(a - 1) and to simplify 3(a + 2)?

OpenStudy (diamond77108):

yes

OpenStudy (diamond77108):

ok now i h

OpenStudy (diamond77108):

have 5a-10=3a+10

OpenStudy (mathstudent55):

5(a - 1) - 15 = 3(a + 2) + 4 5a - 5 - 15 = 3a + 6 + 4 Did you get this as your first step?

OpenStudy (diamond77108):

yeah

OpenStudy (mathstudent55):

Now combine -5 -15 on the left side and combine 6 + 4 on the right side.

OpenStudy (diamond77108):

that was a negitive 5

OpenStudy (mathstudent55):

It is -5 from distributing.

OpenStudy (diamond77108):

ok

OpenStudy (diamond77108):

do i add 3a to both sides next

OpenStudy (mathstudent55):

\(5a \color{red}{- 5 - 15} = 3a + \color{red}{6 + 4}\) Do the two red parts. Just do the parts in red now.

OpenStudy (diamond77108):

5a-20=3a+10

OpenStudy (mathstudent55):

Good. Way above you had -10, not -20, on the left side. Now it's correct.

OpenStudy (mathstudent55):

We want all a's on the left side, and all numbers on the right side. Now subtract 3a from both sides.

OpenStudy (diamond77108):

2a-20=10

OpenStudy (mathstudent55):

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