The solution set is [tex]x=-\frac{11}{2}[/tex]
Step-by-step explanation:
The given expression is [tex]3(x-2)=5(x+1)[/tex]
Multiplying the terms, we get,
[tex]3x-6=5x+5[/tex]
Subtracting 3x from both sides of the equation,
[tex]-6=2x+5[/tex]
Subtracting 5 from both sides of the equation,
[tex]-11=2x[/tex]
Dividing both sides by 2, we get,
[tex]-\frac{11}{2} =x[/tex]
Thus, the solution set is [tex]x=-\frac{11}{2}[/tex]
The graph the solution set [tex]x=-\frac{11}{2}[/tex] is to plot this value in the number line.
The graph for the solution set [tex]x=-\frac{11}{2}[/tex] is attached below:
