Answer:
x = 9/2
Step-by-step explanation:
Solve for x:
4 (5 - 8 x) = -24 x - 16
Expand out terms of the left hand side:
20 - 32 x = -24 x - 16
Add 24 x to both sides:
24 x - 32 x + 20 = (24 x - 24 x) - 16
24 x - 24 x = 0:
24 x - 32 x + 20 = -16
24 x - 32 x = -8 x:
-8 x + 20 = -16
Subtract 20 from both sides:
(20 - 20) - 8 x = -20 - 16
20 - 20 = 0:
-8 x = -20 - 16
-20 - 16 = -36:
-8 x = -36
Divide both sides of -8 x = -36 by -8:
(-8 x)/(-8) = (-36)/(-8)
(-8)/(-8) = 1:
x = (-36)/(-8)
The gcd of -36 and -8 is -4, so (-36)/(-8) = (-4×9)/(-4×2) = (-4)/(-4)×9/2 = 9/2:
Answer: x = 9/2
