Which of the following describes the correct process for solving the equation [tex]$2x - 4 = 20$[/tex] and arrives at the correct solution?

A. Add 4 to both sides, and then divide by 2. The solution is [tex]$x = 12$[/tex].

B. Divide both sides by -4, and then subtract 2. The solution is [tex][tex]$x = -7$[/tex][/tex].

C. Subtract 4 from both sides, and then divide by 2. The solution is [tex]$x = -12$[/tex].

D. Multiply both sides by -4, and then divide by 2. The solution is [tex]$x = -40$[/tex].



Answer :

To solve the equation [tex]\(2x - 4 = 20\)[/tex] correctly, let's follow a step-by-step process:

1. Add 4 to both sides:
[tex]\[ 2x - 4 + 4 = 20 + 4 \][/tex]
Simplifying, we get:
[tex]\[ 2x = 24 \][/tex]

2. Divide both sides by 2:
[tex]\[ \frac{2x}{2} = \frac{24}{2} \][/tex]
Simplifying, we get:
[tex]\[ x = 12 \][/tex]

Therefore, the correct process for solving the equation [tex]\(2x - 4 = 20\)[/tex] is to add 4 to both sides and then divide by 2. This leads to the solution [tex]\(x = 12\)[/tex].

The correct choice is:
a) Add 4 to both sides, and then divide by 2. The solution is [tex]\(x = 12\)[/tex].