Answer: There is one solution to the given equation.
Step-by-step explanation: We are given to find the number of solutions to the following equation :
[tex]12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
Since the given equation is linear in one variable x, so it will have only one solution.
The solution of equation (i) is given by
[tex]12x+6=5x\\\\\Rightarrow 12x-5x=-6\\\\\Rightarrow 7x=-6\\\\\Rightarrow x=-\dfrac{6}{7}.[/tex]
Thus, there is one solution to the given equation.
