Question

Ajutatima va rog.
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Answer 1

Răspuns:

$a) \: 3(x + 5) - 6(x - 2) = 4(x + 2) - 5(x - 4) + 1 \\ 3x + 15 - 6x + 12 = 4x + 8 - 5x + 20 + 1 \\ - 3x + 27 = - x + 29 = \\ - 3x + x = 29 - 27 \\ - 2x = 2 \\ x = 2 \div ( - 2) \\ x = - 1$

$b) \: 2(2x + 7) + 3(x - 1) = 6(x - 3) + 18 \\ 4x + 14 + 3x - 3 = 6x - 18 + 18 \\ 7x + 11 = 6x \\ 7x - 6x = 11 \\ x = 11$

$c) \: 15(x - 1) + 4(2 - 3x) = 11 - 2(x + 4) \\ 15x - 15 + 8 - 12x = 11 - 2x - 8 \\ 3x - 7 = 3 - 2x \\ 3x + 2x = 3 + 7 \\ 5x = 10 \\ x = 10 \div 5 \\ x = 2$

$d) \: 2x + 5 + 3(3x - 1) = 8(1 - 7x) + 2 + 3x \\ 2x + 5 + 9x - 3 = 8 - 56x + 2 + 3x \\ 11x + 2 = 10 - 53 \\ 11x + 53x = 10 - 2 \\ 64x = 8 \\ x = \frac{1}{8}$

$e) \: 10(3 - x) + 6(x + 3) = 19 + 7(2x - 1) \\ 30 - 10x + 6x + 18 = 19 - 14x - 7 \\ 48 - 4x = 12 - 14x \\ - 4x - 14x = 12 - 48 \\ - 18x = - 36 \\ x = - 36 \div ( - 18) \\ x = 2$