SOLUTION: Please help me solve for x for this equation: {{{ 2x/3+x/2-3=3x/4+2 }}}.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve for x for this equation: {{{ 2x/3+x/2-3=3x/4+2 }}}.       Log On


   

Question 69200: Please help me solve for x for this equation: +2x%2F3%2Bx%2F2-3=3x%2F4%2B2++.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2F3%2Bx%2F2-3=3x%2F4%2B2
:
Least common denominator is 12, multiply equation by 12 and you have:
4(2x) + 6(x) - 12(3) = 3(3x) + 12(2)
:
8x + 6x - 36 = 9x + 24; multiply what's inside the brackets
:
8x + 6x - 9x = 24 + 36; x's on the left, numbers on the right
:
5x = 60
:
x = 60/5
:
x = 12
:
:
you can check the solution, substitute 12 for x in the original equation