To solve the equation [tex]\(2x - 4 = 20\)[/tex], let's go through the steps methodically.
1. Start with the given equation:
[tex]\[
2x - 4 = 20
\][/tex]
2. Isolate the term with the variable [tex]\(x\)[/tex]:
Add 4 to both sides of the equation to eliminate the constant term on the left side:
[tex]\[
2x - 4 + 4 = 20 + 4
\][/tex]
Simplifying this gives:
[tex]\[
2x = 24
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 2 to isolate [tex]\(x\)[/tex]:
[tex]\[
\frac{2x}{2} = \frac{24}{2}
\][/tex]
Simplifying this, we find:
[tex]\[
x = 12
\][/tex]
So, the solution to the equation [tex]\(2x - 4 = 20\)[/tex] is [tex]\(x = 12\)[/tex].