Answer:
x = -6
Step-by-step explanation:
Solve for x:
5 x - 14 = 8 x + 4
Subtract 8 x from both sides:
(5 x - 8 x) - 14 = (8 x - 8 x) + 4
5 x - 8 x = -3 x:
-3 x - 14 = (8 x - 8 x) + 4
8 x - 8 x = 0:
-3 x - 14 = 4
Add 14 to both sides:
(14 - 14) - 3 x = 14 + 4
14 - 14 = 0:
-3 x = 4 + 14
4 + 14 = 18:
-3 x = 18
Divide both sides of -3 x = 18 by -3:
(-3 x)/(-3) = 18/(-3)
(-3)/(-3) = 1:
x = 18/(-3)
The gcd of 18 and -3 is 3, so 18/(-3) = (3×6)/(3 (-1)) = 3/3×6/(-1) = 6/(-1):
x = 6/(-1)
Multiply numerator and denominator of 6/(-1) by -1:
Answer: x = -6
