What is the solution to this equation?

-5 (s - 30) = - 10

A. s = - 4

B. s = 8

C. s = 28

D. s = 32

s = 32

Step-by-step explanation:

-5 (s - 30) = - 10

Divide each side by - 5

-5 / - 5 (s - 30) = - 10/-5

s - 30 = 2

Add 30 to each side

s-30+30 = 2+30

s = 32

D. s=32

Step-by-step explanation:

To solve the equation, we want to find out what s is. In order to do this, we have to get s by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-5 (s - 30) = - 10

s-30 is being multiplied by - 5. The opposite of multiplication is division. Divide both sides by - 5.

-5 (s - 30) / -5 = - 10/-5

s-30=-10/-5

s-30=2

30 is being subtracted from s. The opposite of subtraction is addition. Add 30 to both sides.

s-30+30=2+30

s=2+30

s=32

Let's check our solution. Substitute 32 in for s in the original equation. If our solution is correct, the left side of the equation should match the right side.

-5 (s - 30) = - 10

-5 (32-30) = -10

-5 (2) = - 10

-10=-10

The statement above is true, so we know that s is equal to 32, and D is the correct answer.