Răspuns:
e) x = -8
g) x = -9
h) x = 3
i) x = 2
Explicație pas cu pas:
e) [tex]1+ \frac{3x-2}{4} = \frac{2x+5}{2}[/tex]
[tex]\frac{4+3x-2}{4} = \frac{4x+10}{4}[/tex] (am adus la același numitor)
3x +2 = 4x + 10
3x - 4x = 10 - 2 (am separat termenii)
-x = 8
x = -8
g) [tex]\frac{x}{5} - \frac{3-x}{10} = \frac{x+3}{2}[/tex]
[tex]\frac{2x-3+x}{10} = \frac{5x + 15}{10}[/tex]
3x - 3 = 5x + 15
3x - 5x = 15 + 3
-2x = 18
x = -9
h) [tex]\frac{4x-6}{12} = \frac{x+1}{4} - \frac{x}{6}[/tex]
[tex]\frac{4x-6}{12} = \frac{3x+3-2x}{12}[/tex]
4x - 6 = x+ 3
4x - x = 3 + 6
3x = 9
x = 3
i) [tex]\frac{2x+3}{7} - \frac{x}{2} = \frac{3x-6}{14}[/tex]
[tex]\frac{4x+6-7x}{14} = \frac{3x-6}{14}[/tex]
-3x + 6 = 3x - 6
-3x - 3x = -6 - 6
-6x = -12
x = 2
