Question

How many solutions does this equation have? -4(5-3x)=12x+20​

Answer 1

Answer:  The number of solutions to the given equation is zero.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

$-4(5-3x)=12x+20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is as follows :

$-4(5-3x)=12x+20\\\\\Rightarrow 5-3x=\dfrac{12x+20}{-4}\\\\\Rightarrow 5-3x=-3x-5\\\\\Rightarrow -3x+3x=-5-5\\\\\Rightarrow 0=-10,$ which can never be possible.

So, the given equation has no solution.

Thus, the number of solutions to the given equation is zero.