Answer:
x = 31/7
Step-by-step explanation:
Solve for x:
x - 3/7 = 4
Put each term in x - 3/7 over the common denominator 7: x - 3/7 = (7 x)/7 - 3/7:
(7 x)/7 - 3/7 = 4
(7 x)/7 - 3/7 = (7 x - 3)/7:
(7 x - 3)/7 = 4
Multiply both sides of (7 x - 3)/7 = 4 by 7:
(7 (7 x - 3))/7 = 7×4
(7 (7 x - 3))/7 = 7/7×(7 x - 3) = 7 x - 3:
7 x - 3 = 7×4
7×4 = 28:
7 x - 3 = 28
Add 3 to both sides:
7 x + (3 - 3) = 3 + 28
3 - 3 = 0:
7 x = 28 + 3
28 + 3 = 31:
7 x = 31
Divide both sides of 7 x = 31 by 7:
(7 x)/7 = 31/7
7/7 = 1:
Answer: x = 31/7