Question

Solve 4(x + 1) + 8 = 24.

3.75

−2

5

3

Answer 1

4(x + 1) + 8 = 24 --- distribute through the parenthesis
4x + 4 + 8 = 24 -- simplify
4x + 12 = 24 --- subtract 12 from both sides
4x = 24 - 12
4x = 12 -- divide both sides by 4
x = 3

check..
4(x + 1) + 8 = 24
4(3 + 1) + 8 = 24
4(4) + 8 = 24
16 + 8 = 24
24 = 24 (correct)

so x = 3

Answer 2

Jeez. how do you do that so fast?

Answer 3

Opening the parenthesis is not necessary
\[4(x+1)+8=24\]
Subtract 8
\[4(x+1)+8-8=24-8\]\[4(x+1)=16\]
Divide by 4
\[\frac{4(x+1)}{4}=\frac{16}{4}\]\[x+1=4\]
Subtract 1
\[x+1-1=4-1\]\[x=3\]