Answer
3a. x=6
3b. Yes
Work Step by Step
3a. $18=3(2x-6)$
Switch sides: $3(2x-6)=18$
Multiply one side by 3: $6x-18=18$
Add 18 to both sides: $6x-18+18=18+18$
Simplify:$6x=36$
Divide both sides by 6:$\frac{6x}{6}=\frac{36}{6}$
Simplify:$x=6$
3b. You can use the division property to solve this equation
Switch sides: $3(2x-6)=18$
Divide both sides by 3: $\frac{3(2x-6)}{3}=\frac{18}{3}$
Simplify: $2x-6=6$
Add 6 to both sides: $2x-6+6=6+6$
Simplify:$2x=12$
Divide both sides by 2:$\frac{2x}{2}=\frac{12}{2}$
Simplify:$x=6$