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Answer:
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