Question

Rozwiąż równania:
a)5(x-1)+2x=2(x+2)+6
b)x+4-5(x-8)=x-6
c)6x-(x-1)=6
d)2(x-1)+3(x-2)=7
e)3(x+2)+2(2x-3)=x-12
f)x(x-2)-(x²-2x-3)=2x+1

Answer 1

A) 5(x-1)+2x= 2(x+2)+6
5x-5+2x=2x+4+6
5x+2x-2x=4+6+5
5x=15/:5
x=3
b) x+4-5(x-8)=x-6
x+4-5+40=x-6
x-5x-x=-6-4-40
-5x=-50/:(-5)
x=10
c) 6x-(x-1)=6
6x-x+1=6
6x-x=6-1
5x=5/:5
x=1
d)2(x-1)+3(x-2)=7
2x-2+3x-6=7
2x+3x=7+2+6
5x=15/:5
x=3
e) 3(x+2)+2(2x-3)=x-12
3x+6+4x-6=x-12
3x+4x-x=-12-6+6
6x=-12/:6
x=-2
f)x(x-2)-(x²-2x-3)=2x+1
x²-2x-x²+2x+3=2x+1
x²-x²-2x+2x-2x=1-3
-2x=-2/:(-2)
x=1