10/(x+7)=-5/8 equation
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The solution
Detail solution
Given the equation:
$$\frac{10}{x + 7} = - \frac{5}{8}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 10
b1 = 7 + x
a2 = 1
b2 = -8/5
so we get the equation
$$\frac{\left(-8\right) 10}{5} = x + 7$$
$$-16 = x + 7$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 23$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 23$$
Divide both parts of the equation by -1
x = 23 / (-1)
We get the answer: x = -23
Sum and product of roots
[src]
$$-23$$
$$-23$$
$$-23$$
$$-23$$