Solve and check the following equation algebraically. 1/2(x + 32) = -10

1) Given (1/2) (x + 32) = - 10

2) Multiply both sides by 2: x + 32 = 2 * ( -10)

x  + 32 = - 20

3) Subtract 32 from both sides:

x = - 20 - 32

4) Solution x = - 52

5) Check

This is the verification:

(1/2) (-52 + 32) = - 10
(1/2) (-20) = - 10
-10 = - 10