How do you solve #1/2 (x-3) = 1/3 (2x+1)#?

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Answer 1 · 2018-05-23T03:11:15

#color(orange)(x = -11#

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

Order of operations - BEDMAS

#(1/2)*x - (1/2) *3 = (1/3)*2x +(1/3)*1#, removing braces.

#x/2 - 3/2 = (2/3)x + 1/3#, multiplying.

#(2/3)x - x/2 = -3/2 -1/3#

#(4x-3x)/6 = (-9-2)/6#, taking L C M.

#x/cancel6 = -11/cancel6#, simplifying.

#color(orange)(x = -11#