Question

−4(x + 8) + 25 ≤ −2 + 1(x − 50)

Answer 1

-4(x+8)+25≤-2+1(x-50)
-4x-32+25≤-2+x-50
-4x-x≤-2-50+32-25
-5x≤-45
-x≤-45/5
-x≤-9
x≥9    

Answer: x≥9

Answer 2

-4(x + 8) + 25 ≤ -2 + 1(x - 50)    |use distributive property: a(b + c) = ab + ac

-4x - 32 + 25 ≤ -2 + x - 50

-4x - 7 ≤ x - 52    |add 7 to both sides

-4x ≤ x - 45   |subtract x from both sides

-5x ≤ -45    |change signs

5x ≥ 45    |divide both sides by 5

x ≥ 9