Question

Calcule o valor de x nas equações a seguir:

a)4(x + 10) – 2(x – 5) = 0
b)3(2x + 3) = -4(x – 1) +3
c)7(x – 1) – 2(x – 5) = x – 5
d)2(3 – x) = 3(x – 4) + 15

Answer 1

Resposta:

a) $x=-25$

b) $x=-\frac{1}{5}$

c) $x=-2$

d) $x=\frac{3}{5}$

Explicação passo-a-passo:

a) 4(x + 10) – 2(x – 5) = 0

$4x+40-2x+10=0\\2x+50=0\\2x=-50\\x=-25$

b) 3(2x + 3) = -4(x – 1) +3

$6x+9=-4x+4+3\\6x+4x=4+3-9\\10x=-2\\x=-\frac{2}{10}\\\\x=-\frac{1}{5}$

c) 7(x – 1) – 2(x – 5) = x – 5

$7x-7-2x+10=x-5\\7x-2x-x=-5+7-10\\4x=-8\\x=-\frac{8}{4}\\\\x=-2$

d) 2(3 – x) = 3(x – 4) + 15

$6-2x=3x-12+15\\-2x-3x=3-6\\-5x=-3\\\\x=\frac{3}{5}$