Question

Solve for x: 4x-3/2x+1 -10(2x+1/4x-3)=3

Answer 1

$4x - 3 = 2x + 1 \\ 4x - 2x = 1 + 3 \\ 2x = 4 \\ or \: x = \frac{4}{2} = 2 \\ x = 2$

Answer 2

Answer:

X = 1/8 & -4/3

Step-by-step explanation:

Let

(4X - 3)/(2X + 1) = y

then the equation will be

y -10/y = 3

y^2 -10 =3y

(y+2)(y-5) = 0

(1)

y + 2 = 0

y = -2

(4X -3)/(2X +1) = -2

X = 1/8

(2)

y - 5 = 0

y = 5

(4X - 3)/(2X + 1) = 5

X = -4/3