Question

how many solution does this equation have 4x+1=5+2(x-4)

Answer 1

4x+1=5+2x-8
2x=5-8-1
2x=-4
x=-2
unique solution which is x=-2

Answer 2

    Let us first get the value of x to know how many solutions does it have :-

$4x+1= 5+2(x-4)$

$4x+1=5+2x-8$

$4x+2x=5-1-8$

$2x = 4 -8$

$2x = -4$

$x = \frac{-4}{2}$

$x= -2$

⇒ Hence , the given equation has unique solution .