Question

3 . (x+1) - 2 - (x-1) = - (x+5)

Answer 1

Resposta:

(+1)−2−(−1)=−(+5)

(x+1)-2-(x-1)=-(x+5)(x+1)−2−(x−1)=−(x+5)

Resolução

1

Use a propriedade distributiva

(+1)−2−(−1)=−(+5)

(x+1)-2-\left(x-1\right)=-(x+5)(x+1)−2−(x−1)=−(x+5)

(+1)−2−+1=−(+5)

(x+1)-2-x+1=-(x+5)(x+1)−2−x+1=−(x+5)

2

Elimine os parênteses

(+1)−2−+1=−(+5)

(x+1)-2-x+1=-(x+5)(x+1)−2−x+1=−(x+5)

+1−2−+1=−(+5)

x+1-2-x+1=-(x+5)x+1−2−x+1=−(x+5)

3

Calcule a soma

+1−2−+1=−(+5)

x+{\color{#c92786}{1}}{\color{#c92786}{-2}}-x+{\color{#c92786}{1}}=-(x+5)x+1−2−x+1=−(x+5)

+0−=−(+5)

x+{\color{#c92786}{0}}-x=-(x+5)x+0−x=−(x+5)

4

Some zero

+0−=−(+5)

x+0-x=-(x+5)x+0−x=−(x+5)

−=−(+5)

x-x=-(x+5)x−x=−(x+5)

5

Combine os termos semelhantes

−=−(+5)

{\color{#c92786}{x}}{\color{#c92786}{-x}}=-(x+5)x−x=−(x+5)

0=−(+5)

{\color{#c92786}{0}}=-(x+5)0=−(x+5)

6

Use a propriedade distributiva

0=−(+5)

0=-\left(x+5\right)0=−(x+5)

0=−−5

0=-x-50=−x−5

7

Some 

5

55

 aos dois lados da equação

0=−−5

0=-x-50=−x−5

0+5=−−5+5

0+{\color{#c92786}{5}}=-x-5+{\color{#c92786}{5}}0+5=−x−5+5

8

Simplifique

Calcule a soma

Calcule a soma

5=−

5=-x5=−x

9

Divida os dois lados da equação pelo mesmo termo

5=−

5=-x5=−x

5−1=−−1

\frac{5}{{\color{#c92786}{-1}}}=\frac{-x}{{\color{#c92786}{-1}}}−15=