[tex]q) \frac{2}{3} + \frac{x + 1}{2} = 5 - \frac{4 - x}{6} \\ \\ 4 + 3(x + 1) = 30 + x - 4 \\ \\ 4 + 3(x + 1) = x + 26 \\ \\ 4 + 3x + 3 = x + 26 \\ \\ 3x + 7 = x + 26 \\ \\ 3x = x + 26 - 7 \\ \\ 3x = x + 19 \\ \\ 3x - x = 19 \\ \\ 2x = 19 \\ \\ x = \frac{19}{2} \\ \\ r) \frac{6x}{5} - x = \frac{x}{3} + 8x \\ \\ \frac{x}{5} = \frac{x}{3} + 8x \\ \\ \frac{x}{5} = \frac{25x}{3} \\ \\ 3x = 125 \\ \\ 3x - 125x = 0 \\ \\ - 122x = 0 \\ \\ x = 0 [/tex]
t)0,(6)x+2x-0,(3)=4-2(x+1)+3,(6)
0,6+2x-0,3=4-2(x+1)+3,6
2,6x-0,3=-2(x+1)+7,6
2,6x-0,3=-2x-2+7,6
2,6x-0,3=-2x+5,6
2,6x=-2x+5,6+0,3
2,6x=-2x+5,9
2,6x+2x=5,9
4,6x=5,9
[tex]x = \frac{5,9}{4,6} = 1,282609 [/tex]