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3*(2-x)-2*(5x+4)=6 equation

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Numerical solution:

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The solution

You have entered [src]
3*(2 - x) - 2*(5*x + 4) = 6
$$3 \left(2 - x\right) - 2 \left(5 x + 4\right) = 6$$
Detail solution
Given the linear equation:
3*(2-x)-2*(5*x+4) = 6

Expand brackets in the left part
3*2-3*x-2*5*x-2*4 = 6

Looking for similar summands in the left part:
-2 - 13*x = 6

Move free summands (without x)
from left part to right part, we given:
$$- 13 x = 8$$
Divide both parts of the equation by -13
x = 8 / (-13)

We get the answer: x = -8/13
The graph
Rapid solution [src]
x1 = -8/13
$$x_{1} = - \frac{8}{13}$$
x1 = -8/13
Sum and product of roots [src]
sum
-8/13
$$- \frac{8}{13}$$
=
-8/13
$$- \frac{8}{13}$$
product
-8/13
$$- \frac{8}{13}$$
=
-8/13
$$- \frac{8}{13}$$
-8/13
Numerical answer [src]
x1 = -0.615384615384615
x1 = -0.615384615384615