What is4-8a=4 (5-3a)

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