1/3(x+6)=1/2(x-3) I need answer and explanation thanks

x = 21

Step-by-step explanation:

1/3(x + 6) = 1/2(x - 3)

(3)1/3(x + 6) = (3) 1/2(x - 3) - multiply both sides by 3 to get rid of the 1/3

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

x + 6 = 3/2 (-9/2) - i distributed the 3/2 into the parenthesis

x + 6 (2) = 3/2 (-9/2) (2) - multiply each side by 2 to get rid of the fractions

2x + 12 = 3x - 9

2x - 3x = -12 -9 - bring the x to one side

-x = -21

-x/-1 = -21/-x

x = 21