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solutia ecuatiei 3+(x-2)/5-x-(x-5)/10este

Răspuns :

3+(x-2)/5-x-(x-5)/10=0
30+2x-4-10x-x+5=0
9x=31
x=31/9
[tex]3+ \frac{x-2}{5} =x- \frac{x-5}{10} \\ 3*10+2(x-2)=x*10-x+5 \\ 30+2x-4=10x-x+5 \\ 2x-10x+x=5-30+4 \\ -7x=-21 \\ x= \frac{-21}{-7} \\ x=3[/tex]