Answer:
a=4
Step-by-step explanation:
Question: 4-8a=4(5-3a)
1) Distribute 4 to 5 and -3a:
4-8a=20-12a
2) Add 12a to both sides:
4+4a=20
3) Subtract 4 from both sides:
4a=16
4) Divide both sides by 4:
a=4
Footnotes:
- The Distributive property says a(b+c)=ab+ac
4-8a=4(5-3a)
multiply the bracket by 4
(4)(5)=20
(4)(-3a)=-12a
4-8a=20-12a
move -8a to the other side
sign changes from -8a to +8a
4-8a+8a=20-12a+8a ( combine like terms)
4=20-12a+8a
4=20-4a
move 20 to the other side
4-20=20-20-4a
-16=-4a
divide both sides by -4 to get +a and get it by itself
-16/-4=-4a/-4
a=-16/-4
Answer:
a=4
