Question

-5(x-2)=-25 solve the equation

Answer 1

Answer:

$\boxed{\sf x= 7}$

Step-by-step explanation:

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

Answer 2

Answer:

$x=7$

Step-by-step explanation:

$-5(x-2)=-25$

Expand the brackets on the left side of the equation.

$-5(x)-5(-2)=-25$

$-5x+10=-25$

Add -10 on both sides.

$-5x+10-10=-25-10$

$-5x=-35$

Divide both sides by -5.

$\displaystyle \frac{-5x}{-5} =\frac{-35}{-5}$

$x=7$