Given the linear equation:
(2/5)*x+9/11*(2/5)*x-15 = x
Expand brackets in the left part
2/5x+9/11*2/5x-15 = x
Looking for similar summands in the left part:
-15 + 8*x/11 = x
Move free summands (without x)
from left part to right part, we given:
$$\frac{8 x}{11} = x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-3\right) x}{11} = 15$$
Divide both parts of the equation by -3/11
x = 15 / (-3/11)
We get the answer: x = -55