Question

12x+3(x-1)=-2(x+1)+16 nessa pode me ajudar

Answer 1

$12x+3\left(x-1\right)=-2\left(x+1\right)+16$

$\mathrm{Expandir}\:3\left(x-1\right):\quad 3x-3\\ 3\left(x-1\right)\\ \mathrm{Colocar\:os\:parenteses\:utilizando}:\quad \:a\left(b-c\right)=ab-ac\\ a=3,\:b=x,\:c=1\\ \mathrm{Multiplicar\:os\:numeros:}\:3\cdot \:1=3\\ =3x-3\\ 12x+3x-3=-2\left(x+1\right)+16\\ \mathrm{Somar\:elementos\:similares:}\:12x+3x=15x\\ 15x-3=-2\left(x+1\right)+16$

$\mathrm{Expandir\:}-2\left(x+1\right)+16:\quad -2x+14\\ -2\left(x+1\right)+16\\ \mathrm{Colocar\:os\:parenteses\\\ :utilizando}:\quad \:a\left(b+c\right)=ab+ac\\ a=-2,\:b=x,\:c=1\\ =-2x+\left(-2\right)\cdot \:1\\ \mathrm{Aplicar\:as\:regras\:dos\:sinais}\\ +\left(-a\right)=-a\\ =-2x-2\cdot \:1\\ \mathrm{Multiplicar\:os\:numeros:}\:2\cdot \:1=2\\ =-2x-2\\ =-2x-2+16\\ \mathrm{Somar/subtrair:}\:-2+16=14\\ =-2x+14$

$\mathrm{Adicionar\:}3\mathrm{\:a\:ambos\:os\:lados}\\ 15x-3+3=-2x+14+3\\ \mathrm{Simplificar}\\ 15x=-2x+17\\ \mathrm{Adicionar\:}2x\mathrm{\:a\:ambos\:os\:lados}\\ 15x+2x=-2x+17+2x\\ \mathrm{Simplificar}\\ 17x=17\\ \mathrm{Dividir\:ambos\:os\:lados\:por\:}17\\ \frac{17x}{17}=\frac{17}{17}\\ \mathrm{Simplificar}\\ x=1$

A resposta é $x=1$.

Bons estudos

Answer 2

Resposta:

x = 1

Explicação passo-a-passo:

12x + 3(x - 1) = - 2(x + 1) + 16

12x + 3x - 3 = - 2x - 2 + 16

15x - 3 = - 2x + 14

15x + 2x = 14 + 3

17x = 17

x = 17/17

x = 1

Bons estudos.