Question

An equation is shown below:

Answer 1

Part A) This equation has only one solution.

Part B:
 
4(2x−5)=4

Simplify both sides of the equation.

4(2x−5)=4

Simplify:

4(2x−5)=4

(4)(2x)+(4)(−5)=4(Distribute)

8x+−20=4

8x−20=4

Add 20 to both sides.

8x−20+20=4+20

8x=24

Divide both sides by 8.

8x / 8 = 24 / 8

x=3
 

Answer 2

$4(2x-5)=4 \ \ \ \ \ \ |\hbox{divide both sides by 4} \\ 2x-5=1 \ \ \ \ \ \ \ \ \ \ |\hbox{add 5 to both sides} \\ 2x=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 2} \\ x=3$

A: One solution.
B: x=3.