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4*(a+5/12)=1*(1)/(6)*(6*a-1*(1)/(7)) equation

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Numerical solution:

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The solution

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4*(a + 5/12) = 0.166666666666667*(6*a - 0.142857142857143)
$$4 \left(a + \frac{5}{12}\right) = 0.166666666666667 \left(6 a - 0.142857142857143\right)$$
Detail solution
Given the linear equation:
4*(a+5/12) = 1*(1)/(6)*(6*a-1*(1)/(7))

Expand brackets in the left part
4*a+4*5/12 = 1*(1)/(6)*(6*a-1*(1)/(7))

Expand brackets in the right part
4*a+4*5/12 = 1*166*a-1*+17)

Move free summands (without a)
from left part to right part, we given:
$$4 a = 1 a - 1.69047619047619$$
Move the summands with the unknown a
from the right part to the left part:
$$3 a = -1.69047619047619$$
Divide both parts of the equation by 3
a = -1.69047619047619 / (3)

We get the answer: a = -0.563492063492063
The graph
Rapid solution [src]
a1 = -0.563492063492063
$$a_{1} = -0.563492063492063$$
a1 = -0.563492063492063
Sum and product of roots [src]
sum
-0.563492063492063
$$-0.563492063492063$$
=
-0.563492063492063
$$-0.563492063492063$$
product
-0.563492063492063
$$-0.563492063492063$$
=
-0.563492063492063
$$-0.563492063492063$$
-0.563492063492063
Numerical answer [src]
a1 = -0.563492063492063
a1 = -0.563492063492063