Respuesta :

Answer:

-16/5

Step-by-step explanation:

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

7x+7=1-10+2x

7x-2x=1-10-7

5x = -16

x = -16/5

Answer: [tex]\huge {x = -\frac{16}{5} }[/tex]

Step-by-step explanation:

Given equation

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

Expand parentheses and apply the distributive property

7x + 7 = 1 - 10 + 2x

Combine like terms

7x + 7 = -9 + 2x

Subtract 2x on both sides

7x + 7 - 2x = -9 + 2x - 2x

5x + 7 = -9

Subtract 7 on both sides

5x + 7 - 7 = -9 - 7

5x = -16

Divide 5 on both sides

5x / 5 = -16 / 5

[tex]\boxed{x=-\frac{16}{5} }[/tex]

Hope this helps!! :)

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