Answer:
The Equation is
- 4 x - 11 = 2 (x - 3 x) + 13
→ - 4 x - 11= 2 x - 2* 3 x + 13⇒⇒Using Distributive property of multiplication over subtraction which is , A * (B - C) = A*B - A*C
Bringing variables on one side and Constants on another side
→ - 4 x - 2 x + 6 x = 13 +11
→ - 6 x + 6 x = 24
0 =24
which is not possible.
Hence this equation has no solution.
If you look at the equation in the way
L HS= - 4 x - 11
A= - 4 x -11
R H S = 2 *(x - 3 x) + 13
B= 2 * (- 2 x) +13
= - 4 x + 13
Both L HS and R H S, if looked individually represent lines in two dimensional plane, having equal slopes and different Y intercept.
So, the two lines are parallel.
Parallel lines do not intersect.
So, the equation has no solution.