a)2x-3=3x-2
-3=3x-2-2x
-3=x-2
-3+2=x
-1=x
x=-1
b)x+7=3•(2x-1)+5
x+7=3•(2x+4)
x+7=6x+12
7=6x+12-x
7=5x+12
7-12=5x
-5=5x
-1=x
x=-1
[tex]c) \frac{x + 2}{2} - \frac{x - 1}{4} = \frac{7}{4} \\ \\ 2(x + 2) + 1 - x = 7 \\ \\ 2x + 4 + 1 - x = 7 \\ \\ x + 5 = 7 \\ \\ x = 7 - 5 = 2 [/tex]
d)5-2x=3-2•(x-1)
5-2x=3-2x+2
5-2x=2x-5
-2x=-2x
Număr infinit de soluții.
e)x•(x-2)-17=(x+1)²+2x
x²-2x-17=x²+2x+1+2x
x²-2x-17=x²+4x+1
-2x-17=4x+1
-17=4x+1+2x
-17=6x+1
-17-1=6x
-18=6x
[tex] - \frac{18}{6} = x[/tex]
-3=x
x=-3
[tex]f) \sqrt{ {x}^{2} + 4x + 4 } = 7 \\ \\ \sqrt{ {x}^{2} + 2(x)(2) + {2}^{2} } = 7 \\ \\ \sqrt{ {(x + 2)}^{2} } = 7 \\ \\ x + 2 = 7 \\ \\ x = 7 - 2 = 5 \\ \\ [/tex]
h)|x+3|=8
x+3=8
-(x+3)=8
x=8-3=5
-x-3=8
-x=8+3=11
x=-11
