Respuesta :

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Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]-5(x-2)=-25[/tex]

Expand the brackets on the left side of the equation.

[tex]-5(x)-5(-2)=-25[/tex]

[tex]-5x+10=-25[/tex]

Add -10 on both sides.

[tex]-5x+10-10=-25-10[/tex]

[tex]-5x=-35[/tex]

Divide both sides by -5.

[tex]\displaystyle \frac{-5x}{-5} =\frac{-35}{-5}[/tex]

[tex]x=7[/tex]

Cathenna

Answer:

[tex] \boxed{\sf x= 7} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: x: \\ \sf \implies - 5(x - 2) = - 25 \\ \sf Divide \: both \: sides \: of \: - 5 (x - 2) = - 25 \: by \: - 5: \\ \sf \implies \frac{ - 5(x - 2)}{ - 5} = \frac{ - 25}{ - 5} \\ \\ \sf \frac{ \cancel{ - 5}}{ \cancel{ - 5}} = 1 : \\ \sf \implies x - 2 = \frac{ - 25}{ - 5} \\ \\ \sf \frac{ - 25}{ - 5} = \frac{5 \times \cancel{ - 5}}{ \cancel{ - 5}} = 5 : \\ \sf \implies x - 2 = \boxed{ \sf 5} \\ \\ \sf Add \: 2 \: to \: both \: sides: \\ \sf \implies x + ( \boxed{ \sf 2} - 2) =5 + \boxed{ \sf 2} \\ \\ \sf 2 - 2 = 0 : \\ \sf \implies x = 5 + 2 \\ \\ \sf 5 + 2 = 7 : \\ \sf \implies x= 7[/tex]

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