-3+x/5=x+2/3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
-3+x/5 = x+2/3
Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{5} = x + \frac{11}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-4\right) x}{5} = \frac{11}{3}$$
Divide both parts of the equation by -4/5
x = 11/3 / (-4/5)
We get the answer: x = -55/12
$$x_{1} = - \frac{55}{12}$$
Sum and product of roots
[src]
$$- \frac{55}{12}$$
$$- \frac{55}{12}$$
$$- \frac{55}{12}$$
$$- \frac{55}{12}$$