Answer: The given equation will have infinite number of solutions.
Step-by-step explanation: We are given to check the number of solutions to the following equation :
[tex]25-4x=15-3x+10-x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the number of solutions, we must solve the given equation.
The solution of equation (i) is
[tex]25-4x=15-3x+10-x\\\\\Rightarrow 25-4x=25-4x\\\\\Rightarrow 4x-4x=25-25\\\\\Rightarrow 0=0,[/tex] which is always true.
Thus, the given equation will have infinite number of solutions.
