Answer:
x = 12
Step-by-step explanation:
Solve for x:
(5 x)/6 + 4 = x + 2
Put each term in (5 x)/6 + 4 over the common denominator 6: (5 x)/6 + 4 = (5 x)/6 + 24/6:
(5 x)/6 + 24/6 = x + 2
(5 x)/6 + 24/6 = (5 x + 24)/6:
(5 x + 24)/6 = x + 2
Multiply both sides by 6:
(6 (5 x + 24))/6 = 6 (x + 2)
(6 (5 x + 24))/6 = 6/6×(5 x + 24) = 5 x + 24:
5 x + 24 = 6 (x + 2)
Expand out terms of the right hand side:
5 x + 24 = 6 x + 12
Subtract 6 x from both sides:
(5 x - 6 x) + 24 = (6 x - 6 x) + 12
5 x - 6 x = -x:
-x + 24 = (6 x - 6 x) + 12
6 x - 6 x = 0:
24 - x = 12
Subtract 24 from both sides:
(24 - 24) - x = 12 - 24
24 - 24 = 0:
-x = 12 - 24
12 - 24 = -12:
-x = -12
Multiply both sides of -x = -12 by -1:
(-x)/(-1) = 12
(-1)/(-1) = 1:
Answer: x = 12
