Answer:
x = -20
Explanation:
Solve for x:
(3 x)/4 + 7 = -8
Put each term in (3 x)/4 + 7 over the common denominator 4: (3 x)/4 + 7 = (3 x)/4 + 28/4:
((3 x)/4 + 28/4) = -8
(3 x)/4 + 28/4 = (3 x + 28)/4:
(1/4 (3 x + 28)) = -8
Multiply both sides of (3 x + 28)/4 = -8 by 4:
(4 (3 x + 28))/4 = -8×4
(4 (3 x + 28))/4 = 4/4×(3 x + 28) = 3 x + 28:
(3 x + 28) = -8×4
4 (-8) = -32:
3 x + 28 = -32
Subtract 28 from both sides:
3 x + (28 - 28) = -28 - 32
28 - 28 = 0:
3 x = -28 - 32
-28 - 32 = -60:
3 x = -60
Divide both sides of 3 x = -60 by 3:
(3 x)/3 = (-60)/3
3/3 = 1:
x = (-60)/3
The gcd of -60 and 3 is 3, so (-60)/3 = (3 (-20))/(3×1) = 3/3×-20 = -20:
Answer: x = -20