Question

Resolva as equações da maneira que você quiser, sendo U=Q.
c)3(x-2)-(1-x)=13
d) 6(4-t)-55=-5(2t+3)
e)5-4(x-1)=4x-3(4x-1)-4

Answer 1

$c)\ 3(x-2)-(1-x)=13\\\\\Rightarrow 3x-6-1+x=13\\\\\Rightarrow 4x-7=13\\\\\Rightarrow 4x=13+7\\\\\Rightarrow 4x=20\\\\\Rightarrow x=\dfrac{20}4\\\\\Rightarrow x=5$

$d)\ 6(4-t)-55=-5(2t+3)\\\\\Rightarrow 24-6t-55=-10t-15\\\\\Rightarrow -6t-31=-10t-15\\\\\Rightarrow -6t+10t=31-15\\\\\Rightarrow 4t=16\\\\\Rightarrow t=\dfrac{16}4\\\\\Rightarrow t=4$

$e)\ 5-4(x-1)=4x-3(4x-1)-4\\\\\Rightarrow 5-4x+4=4x-12x+3-4\\\\\Rightarrow -4x+9=-8x-1\\\\\Rightarrow -4x+8x=-1-9\\\\\Rightarrow 4x=-10\\\\\Rightarrow x=\dfrac{-10}4\\\\\Rightarrow x=-\dfrac52$