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

Solve:

1/2 (x + 32) = - 10 ... multiply both sides by 2

x + 32 = - 10 * 2

x + 32 = - 20

x = - 20 - 32

x = - 52 <===

check:

1/2 (x + 32) = - 10 ... when x = - 52

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

1/2 (-20) = - 10

-20/2 = - 10

-10 = - 10 (correct)

1/2 (x + 32) = - 10

(x + 32) = - 20

x = - 32 - 20

x = - 52