Answer:
One x = 11/48
Step-by-step explanation:
Solve for x:
-4 x - 11 = 2×13 (x - 3 x)
x - 3 x = -2 x:
-4 x - 11 = 2×13×-2 x
2 (-2) = -4:
-4 x - 11 = -4×13 x
-4×13 = -52:
-4 x - 11 = -52 x
Add 52 x to both sides:
52 x - 4 x - 11 = 52 x - 52 x
52 x - 52 x = 0:
52 x - 4 x - 11 = 0
Grouping like terms, 52 x - 4 x - 11 = (-4 x + 52 x) - 11:
((-4 x + 52 x) - 11) = 0
52 x - 4 x = 48 x:
48 x - 11 = 0
Add 11 to both sides:
48 x + (11 - 11) = 11
11 - 11 = 0:
48 x = 11
Divide both sides of 48 x = 11 by 48:
(48 x)/48 = 11/48
48/48 = 1:
Answer: x = 11/48