Răspuns:
[tex]a) \: 2(x + 1) - 5 = x - 3 \\ 2x + 2 - 5 = x - 3 \\ 2x - x = - 3 - 2 + 5 \\ x = 0 \\ \\ b) \: 3 + 5(x - 2) = 3x - 7 \\ 3 + 5x - 10 = 3x - 7 \\ 5x - 3x = - 7 - 3 + 10 \\ x = 0 \\ \\ c)4(x + 3) - 7 = 5x - 1 \\ 4x + 12 - 7 = 5x - 1 \\ 4x - 5x = - 1 - 12 + 7 \\ - x = - 6 \\ x = 6 \\ \\ d)4x + 3 = 6 - 3(x - 9) \\ 4x + 3 = 6 - 3x + 27 \\ 4x + 3x = 6 + 27 - 3 \\ 7x = 30 \\ x = \frac{30}{7} \\ \\ e) \: 1 + 2(x + 5) = 3x - 9 \\ 1 + 2x + 10 = 3x - 9 \\ 2x - 3x = - 9 - 1 - 10 \\ - x = - 20 \\ x = 20[/tex]
[tex]f)2x - 7(x + 3) = 2x - 35 \\ 2x - 7x - 21 = 2x - 35 \\ 2x - 7x - 2x = - 35 + 21 \\ - 7x = - 14 \\ x = 2 \\ \\ g)8 - (4x - 1) = - 3(2x - 1) \\ 8 - 4x + 1 = - 6x + 3 \\ - 4x + 6x = 3 - 8 - 1 \\ 2x = - 6 \\ x = - 3[/tex]
[tex]h)8 - 5(x - 4) = 6 + 3(x + 6) \\ 8 - 5x + 20 = 6 + 3x + 18 \\ - 5x - 3x = 6 + 18 - 8 - 20 \\ - 8x = - 4 \\ x = \frac{1}{2} [/tex]
[tex]i)4(x + 1) - 5(2 - x) = 2(x - 1) - 3(x - 2) \\ 4x + 4 - 10 + 5x = 2x - 2 - 3x + 6 \\ 4x + 5x - 2x + 3x = - 2 + 6 - 4 + 10 \\ 10x = 10 \\ x = 1[/tex]
