Answer:
x = -20
Step-by-step explanation:
Solve for x:
50 = 5 x - 8 x - 7 - 3
Grouping like terms, 5 x - 8 x - 7 - 3 = (5 x - 8 x) + (-3 - 7):
50 = (5 x - 8 x) + (-3 - 7)
5 x - 8 x = -3 x:
50 = -3 x + (-3 - 7)
-3 - 7 = -10:
50 = -10 - 3 x
50 = -3 x - 10 is equivalent to -3 x - 10 = 50:
-3 x - 10 = 50
Add 10 to both sides:
(10 - 10) - 3 x = 10 + 50
10 - 10 = 0:
-3 x = 50 + 10
50 + 10 = 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/(-1) = 20/(-1):
x = 20/(-1)
Multiply numerator and denominator of 20/(-1) by -1:
Answer: x = -20
