Solve this multi step equation: 8a + 2 (1 - 5a) < 20 (dash under <)

Okay. Basically, a is greater than or equal to 9.

First, you do distribute the 2.

8a+2-10a (< or = ) 20

Subtract two on both sides.

8a-10a (< or = ) 18

Then subtract 10a from 8a

-2a (< or = ) 18

Divide by two on both sides

and switch around the greater than sign since you divided by a - 2

a (> or = ) - 9

And if you check, - 9 works, - 8 works, and - 10 doesn't work.

Distribute 2 (1-5a)

8a+2-10a<20

Combine like terms

-2a+2<20

Subtract 2 from both sides

-2a<18

Divide both sides by - 2, when dividing by a negative number flip the sign

So the answer is a>-9