Question

3(x-4)=5(x+2)
a. x=11
b. x=-11
c. x=1
d. x=-1

Answer 1

3(x - 4) = 5(x + 2)

First, expand. / Your problem should look like: 3x - 12 = 5x + 10
Second, subtract 3x from both sides. / Your problem should look like: -12 = 5x + 10 - 3x
Third, simplify 5x + 10 - 3x to 2x + 10. / Your problem should look like: -12 = 2x + 10
Fourth, subtract 10 from both sides. / Your problem should look like: -12 - 10 = 2x
Fifth, simplify -12 - 10 to -22. / Your problem should look like: -22 = 2x
Sixth, divide both sides by 2. / Your problem should look like:
`- (22)/(2)` = x
Seventh, simplify
`(22)/(2)` to 11. / Your problem should look like: -11 = x
Eighth, switch sides. / Your problem should look like: x = -11

Answer: x = -11 (B)