Question

Resolva as equações
g)3(3x-1)=2(3x+2)
h)7(x-2)=5(x+3)
i)3(2x-1)=-2(x+3)
j)5x-3(x+2)=15
k)2x+3x+9=8(6-x)​

Answer 1

Resposta:

g)7/3

h)29/2

i)

$- \frac{3}{8}$

j) 21/2

k) 3

Explicação passo-a-passo:

g)

$3(3x-1)=2(3x+2) \\9x - 3 = 6x + 4 \\ 9x + 6x = 4 + 3 \\ 3x = 7 \\ x = \frac{7}{3}$

h)

$7(x-2)=5(x+3) \\ 7x - 14 = 5x + 15 \\ 7x - 5x = 15 + 14 \\ 2x = 29 \\ x = \frac{29}{2}$

i)

$3(2x-1)=-2(x+3) \\ 6x - 3 = - 2x - 6 \\ 6x + 2x = - 6 + 3 \\ 8x = - 3 \\ x = - \frac{3}{8}$

j)

$5x-3(x+2)=15 \\ 5x - 3x - 6 = 15 \\ 2x - 6 = 15 \\ 2x = 15 + 6 \\ 2x = 21 \\ x = \frac{21}{2}$

k)

$2x+3x+9=8(6-x) \\ 5x + 9 = 48 - 8x \\ 5x + 8x = 48 - 9 \\ 13x = 39 \\ x = \frac{39}{13} \\ x = 3$