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 :
\(12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
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
\(12x+6=5x\\\\\Rightarrow 12x-5x=-6\\\\\Rightarrow 7x=-6\\\\\Rightarrow x=-\dfrac{6}{7}.\)
Thus, there is one solution to the given equation.
