Question

How many solutions are there to the equation below? 12x+6=5x

Answer 1

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.