Question

What is the value of x in the equation 3/2(4x - 1) – 3x = 5/4-(x + 2)? Pick one below. 1. 1/16 2. 3/16 3. 19/164. 3X= ???

Answer 1

The equation is given as

`(3(4x-1))/(2)-3x=(5)/(4)-(x+2)`
`\begin{gathered} (3(4x-1)-2\ast3x)/(2)=(5-4\ast(x+2))/(4) \\ (3(4x-1)-6x)/(2)=(5-4x-8)/(4) \\ (12x-3-6x)/(1)=(-3-4x)/(2) \\ (6x-3)=(-3-4x)/(2) \\ (6x-3)\ast2=-3-4x \\ 12x-6=-3-4x \\ 12x+4x=-3+6 \\ 16x=3 \\ x=(3)/(16) \end{gathered}`

The value of x is 3/16.