2/5x-1=3/4x-6 equation
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The solution
Detail solution
Given the linear equation:
2/5*x-1 = 3/4*x-6
Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = \frac{3 x}{4} - 5$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-7\right) x}{20} = -5$$
Divide both parts of the equation by -7/20
x = -5 / (-7/20)
We get the answer: x = 100/7
Sum and product of roots
[src]
$$\frac{100}{7}$$
$$\frac{100}{7}$$
$$\frac{100}{7}$$
$$\frac{100}{7}$$
$$x_{1} = \frac{100}{7}$$