Answer:
The solution for the expression is:
[tex]x=-\frac{11}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]3(x-2)=5(x+1)[/tex]
To graph the solution set.
Solution:
We will first solve for [tex]x[/tex] to find the solution for the expression.
We have:
[tex]3(x-2)=5(x+1)[/tex]
Using distribution:
[tex]3x-6=5x+5[/tex]
Adding 6 both sides.
[tex]3x-6+6=5x+5+6[/tex]
[tex]3x=5x+11[/tex]
Subtracting both sides by [tex]5x[/tex].
[tex]3x-5x=5x-5x+11[/tex]
[tex]-2x=11[/tex]
Dividing both sides by 2.
[tex]\frac{-2x}{-2}=\frac{11}{-2}[/tex]
∴ [tex]x=-\frac{11}{2}[/tex]
The correct graph that represents the solution is given below.
