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5x-2*(x-4)=6x equation

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Numerical solution:

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The solution

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5*x - 2*(x - 4) = 6*x
$$5 x - 2 \left(x - 4\right) = 6 x$$
Detail solution
Given the linear equation:
5*x-2*(x-4) = 6*x

Expand brackets in the left part
5*x-2*x+2*4 = 6*x

Looking for similar summands in the left part:
8 + 3*x = 6*x

Move free summands (without x)
from left part to right part, we given:
$$3 x = 6 x - 8$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -8$$
Divide both parts of the equation by -3
x = -8 / (-3)

We get the answer: x = 8/3
The graph
Rapid solution [src]
x1 = 8/3
$$x_{1} = \frac{8}{3}$$
x1 = 8/3
Sum and product of roots [src]
sum
8/3
$$\frac{8}{3}$$
=
8/3
$$\frac{8}{3}$$
product
8/3
$$\frac{8}{3}$$
=
8/3
$$\frac{8}{3}$$
8/3
Numerical answer [src]
x1 = 2.66666666666667
x1 = 2.66666666666667