Question

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

Answer 1

`\boxed{\sf x= 7}`

Explanation:

`\sf Solve \: for \: x: \\ \sf \implies - 5(x - 2) = - 25 \\ \sf Divide \: both \: sides \: of \: - 5 (x - 2) = - 25 \: by \: - 5: \\ \sf \implies ( - 5(x - 2))/( - 5) = ( - 25)/( - 5) \\ \\ \sf \frac{ \cancel{ - 5}}{ \cancel{ - 5}} = 1 : \\ \sf \implies x - 2 = ( - 25)/( - 5) \\ \\ \sf ( - 25)/( - 5) = \frac{5 * \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

`x=7`

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 (-5x)/(-5) =(-35)/(-5)`

`x=7`