College

Which equation can be used to solve for [tex]$x$[/tex]?

A. [tex]3x + 7 = 84[/tex]
B. [tex]x + 21 = 84[/tex]
C. [tex]21x = 84[/tex]
D. [tex]3(x + 7) = 84[/tex]

Solve for [tex]$x$[/tex].
[tex]x = [/tex]

Answer :

The correct equation to use is
[tex]$$3(x+7)=84.$$[/tex]

We solve for [tex]$x$[/tex] as follows:

1. Divide both sides by 3:
[tex]$$
x+7=\frac{84}{3}=28.
$$[/tex]

2. Subtract 7 from both sides:
[tex]$$
x=28-7=21.
$$[/tex]

Thus, the solution is
[tex]$$x=21.$$[/tex]