SOLUTION: please help step by step (2x-3)/6+x=(2x-3)/2+5

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Question 560229: please help step by step
(2x-3)/6+x=(2x-3)/2+5
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
%282x-3%29%2F6%2Bx=%282x-3%29%2F2%2B5
Take LCD
%28%282x-3%29%2B6x%29%2F6=%28%282x-3%29%2B%282%29%285%29%29%2F2
%282x-3%2B6x%29%2F6=%282x-3%2B10%29%2F2
%288x-3%29%2F6=%282x%2B7%29%2F2
%282%29%288x-3%29=%286%29%282x%2B7%29
16x-6=12x%2B42
16x-12x=42%2B6
4x=48
4x%2F4=48%2F4
cross%284%29x%2Fcross%284%29=cross%2848%29%2Fcross%284%29
x=12


Check
======
%282x-3%29%2F6%2Bx=%282x-3%29%2F2%2B5
Put x=12
%282%2812%29-3%29%2F6%2B12=%282%2812%29-3%29%2F2%2B5
%2824-3%29%2F6%2B12=%2824-3%29%2F2%2B5
21%2F6%2B12=21%2F2%2B5
cross%2821%29%2Fcross%286%29%2B12=21%2F2%2B5
7%2F2%2B12=21%2F2%2B5
Take LCD
%287%2B%2812%29%282%29%29%2F2=%2821%2B%285%29%282%29%29%2F2
%287%2B24%29%2F2=%2821%2B10%29%2F2
31%2F2=31%2F2