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Multimea solutiilor ecuatiei : 4(3x-2) +6|2x-3|+5=5(2x-3)+2x+30.

Răspuns :

4(3x-2) +6|2x-3|+5=5(2x-3)+2x+30
2x-3 >0
|2x-3|=2x-3
4(3x-2) +6(2x-3)+5=5(2x-3)+2x+30
12x-2 +12x-18+5=10x-15+2x+30
24x-15=12x+15
12x=30
x=30/12=5/2


2x-3 <0
|2x-3|=-(2x-3)=3-2x
4(3x-2) +6(3-2x)+5=5(2x-3)+2x+30
12x-2 -12x+18+5=10x-15+2x+30
21=12x+15
12x=6
x=6/12
x=1/2