3/4 (x - 16) = - 2 (x - 3) + 4

the value of x=8

Step-by-step explanation:

In order to solve the x in question

3/4 (x - 16) = - 2 (x - 3) + 4

let us get started by rearragging and opening the brackets

3 (x-16) / 4 = - 2 (x-3) + 4

(3x - 48) / 4 = - 2x + 6 + 4

(3x - 48) / 4 = - 2x + 10

multiply through by 4

we have,

3x - 48 = - 8x + 40

collect the like terms

3x+8x = 40 + 48

11x = 88

divide both sides by 11

11x/11 = 88/11

x = 8