SOLUTION: please could you help me solve this equation: 2x+3 all over 5 - x-2 all over 4 = a half I've tried rearranging and tried making x the subject but all I can get is 8

Question 551694: please could you help me solve this equation:
2x+3 all over 5 - x-2 all over 4 = a half
I've tried rearranging and tried making x the subject but all I can get is 8 over 3 which doesn't work I don't think?
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
2x+3 all over 5 - x-2 all over 4 = a half

Let's clear out those pesky fractions. If I multiply by 5 then 4 (or just multiply by 20, I'll get rid of all the fractions
4*(2x+3)-5*(x-2)=10
distribute
8x+12-5x+10=10
combine like terms
3x+22=10
subtract from both sides
3x=-12
divide by 3
x=-4
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