Question

alguem me ajuda com essa expressao numerica? 2(x+3) + 8 = -3x​

Answer 1

Oie, tudo bom?

2(x + 3) + 8 = - 3x

2x + 6 + 8 = - 3x

2x + 14 = - 3x

2x + 3x = - 14

5x = - 14

x = - 14/5

x = - 2,8

Att. NLE Top Shotta

Answer 2

✧ O valor de x será de: $\boxed{\begin{array}{lr}\mathtt{ - 2.8}\end{array}}$.

↬ Hey cherry, nós vamos multiplicar, somar, mover a constante, depois a variável, colocar termos similares em evidência, e por fim, dividir. Simples, não?!

↬ Vamos lá, baby angel...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2(x + 3) + 8 = - 3x}}\end{array}}}}}\end{gathered}$

↬ Multiplique os termos que estão dentro do parênteses.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 2 \times 3}}\end{array}}}}}\end{gathered}$

↬ Multiplique os números!

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 6}}\end{array}}}}}\end{gathered}$

↬ Obtendo:

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 6 + 8 = - 3x}}\end{array}}}}}\end{gathered}$

↬ Some os números positivos.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x +14 = - 3x}}\end{array}}}}}\end{gathered}$

↬ Movimente a constante para o lado direito, assim, adicione seu oposto.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 14 - 14 = - 3x - 14}}\end{array}}}}}\end{gathered}$

↬ Somando dois opostos, iremos encontrar o valor de 0, os tire da expressão!

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x = - 3x - 14}}\end{array}}}}}\end{gathered}$

↬ Agora, mova a variável para o lado esquerdo, assim, adicione seu oposto.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 3x = - 3x - 14 + 3x}}\end{array}}}}}\end{gathered}$

↬ Dois opostos = 0, os tire da expressão.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{2x + 3x = - 14}}\end{array}}}}}\end{gathered}$

↬ Coloque os termos similares em evidência.

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{(2 + 3)x}}\end{array}}}}}\end{gathered}$

↬ Some os coeficientes...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5x}}\end{array}}}}}\end{gathered}$

↬ Obtendo:

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5x = - 14}}\end{array}}}}}\end{gathered}$

↬ Divida os membros da equação por 5...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{5x \div 5 = - 14 \div 5}}\end{array}}}}}\end{gathered}$

↬ Divida...

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{x = - 14 \div 5}}\end{array}}}}}\end{gathered}$

↬ E divida novamente!

$\begin{gathered}\qquad\LARGE\red{\boxed{\red{\boxed{\begin{array}{rcl}\mathbf{\red{ - 2.8}}\end{array}}}}}\end{gathered}$

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${\red{\boxed{\begin{array}{lr}\mathbf{BY:LOHANY \: EVAN}\end{array}}}}$