Question

1/3(6x-3)-1/4(20x+8)=-6

Answer 1

x = 1.

Explanation:

`(1)/(3)(6x-3)-(1)/(4)(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\(((1)/(3)*6x)-((1)/(3)*3))-(1)/(4)(20x+8)=-6\\\\2x-1-(1)/(4)(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-(((1)/(4)*20x)+((1)/(4)*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1`