Question

resolva as equações :

a) -15=3 (x-1)+2x

b)2 (7x-1)-3 (4-14x)=-6

c)1-3 (x-4)1

d)4x-10+8x=50

Answer 1

a)
$- 15 = 3(x - 1) + 2x \\ - 15 = 3x - 3 + 2x \\ 3x + 2x = - 15 + 3 \\ 5x = - 12 \\ x = - \frac{12}{5}$
b)
$2(7x - 1) - 3(4 - 14x) = - 6 \\ 14x - 2 - 12 + 42x = - 6 \\ 56x = - 6 + 12 + 2 \\ 56x = 8 \\ x = \frac{8 \div 8}{56 \div 8} \\ x = \frac{1}{7}$
c)
$1 - 3(x - 4) = 1 \\ 1 - 3x + 12 = 1 \\ - 3x = 1 - 12 - 1 \\ x = \frac{12}{3} \\ x = 4$
d)
$4x - 10 + 8x = 50 \\ 12x = 50 + 10 \\ 12x = 60 \\ x = \frac{60}{12} \\ x = 5$