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5/6x+8=1/4x-6

5/6x+8=1/4x-6 equation

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Numerical solution:

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The solution

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5*x       x    
--- + 8 = - - 6
 6        4    
$$\frac{5 x}{6} + 8 = \frac{x}{4} - 6$$
Detail solution
Given the linear equation:
5/6*x+8 = 1/4*x-6

Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{6} = \frac{x}{4} - 14$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{7 x}{12} = -14$$
Divide both parts of the equation by 7/12
x = -14 / (7/12)

We get the answer: x = -24
The graph
Sum and product of roots [src]
sum
-24
$$-24$$
=
-24
$$-24$$
product
-24
$$-24$$
=
-24
$$-24$$
-24
Rapid solution [src]
x1 = -24
$$x_{1} = -24$$
x1 = -24
Numerical answer [src]
x1 = -24.0
x1 = -24.0
The graph
5/6x+8=1/4x-6 equation