(x+7)/(x-5)=4 equation
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The solution
Detail solution
Given the equation:
$$\frac{x + 7}{x - 5} = 4$$
Multiply the equation sides by the denominator -5 + x
we get:
$$x + 7 = 4 x - 20$$
Move free summands (without x)
from left part to right part, we given:
$$x = 4 x - 27$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -27$$
Divide both parts of the equation by -3
x = -27 / (-3)
We get the answer: x = 9
Sum and product of roots
[src]
$$9$$
$$9$$
$$9$$
$$9$$