177,470 views
40 votes
40 votes
1/3(x+6)=1/2(x-3) I need answer and explanation thanks

User Eduard Thamm
by
2.7k points

1 Answer

14 votes
14 votes

Answer:

x = 21

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

User Nahoang
by
3.1k points