Answer:
x = (-10)/43
Step-by-step explanation:
Solve for x:
91 x = 5 x - 20
Subtract 5 x from both sides:
91 x - 5 x = (5 x - 5 x) - 20
91 x - 5 x = 86 x:
86 x = (5 x - 5 x) - 20
5 x - 5 x = 0:
86 x = -20
Divide both sides of 86 x = -20 by 86:
(86 x)/86 = (-20)/86
86/86 = 1:
x = (-20)/86
The gcd of -20 and 86 is 2, so (-20)/86 = (2 (-10))/(2×43) = 2/2×(-10)/43 = (-10)/43:
Answer: x = (-10)/43
