Question 560229
{{{(2x-3)/6+x=(2x-3)/2+5}}}
Take LCD
{{{((2x-3)+6x)/6=((2x-3)+(2)(5))/2}}}
{{{(2x-3+6x)/6=(2x-3+10)/2}}}
{{{(8x-3)/6=(2x+7)/2}}}
{{{(2)(8x-3)=(6)(2x+7)}}}
{{{16x-6=12x+42}}}
{{{16x-12x=42+6}}}
{{{4x=48}}}
{{{4x/4=48/4}}}
{{{cross(4)x/cross(4)=cross(48)/cross(4)}}}
{{{x=12}}}



Check
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{{{(2x-3)/6+x=(2x-3)/2+5}}}
Put x=12
{{{(2(12)-3)/6+12=(2(12)-3)/2+5}}}
{{{(24-3)/6+12=(24-3)/2+5}}}
{{{21/6+12=21/2+5}}}
{{{cross(21)/cross(6)+12=21/2+5}}}
{{{7/2+12=21/2+5}}}
Take LCD
{{{(7+(12)(2))/2=(21+(5)(2))/2}}}
{{{(7+24)/2=(21+10)/2}}}
{{{31/2=31/2}}}