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3(2-x)-(5x+4)=0,4-16x

3(2-x)-(5x+4)=0,4-16x equation

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Numerical solution:

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The solution

You have entered [src]
3*(2 - x) + -5*x - 4 = 2/5 - 16*x
$$3 \left(2 - x\right) + \left(- 5 x - 4\right) = \frac{2}{5} - 16 x$$
Detail solution
Given the linear equation:
3*(2-x)-(5*x+4) = (2/5)-16*x

Expand brackets in the left part
3*2-3*x-5*x-4 = (2/5)-16*x

Expand brackets in the right part
3*2-3*x-5*x-4 = 2/5-16*x

Looking for similar summands in the left part:
2 - 8*x = 2/5-16*x

Move free summands (without x)
from left part to right part, we given:
$$- 8 x = - 16 x - \frac{8}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$8 x = - \frac{8}{5}$$
Divide both parts of the equation by 8
x = -8/5 / (8)

We get the answer: x = -1/5
The graph
Rapid solution [src]
x1 = -1/5
$$x_{1} = - \frac{1}{5}$$
x1 = -1/5
Sum and product of roots [src]
sum
-1/5
$$- \frac{1}{5}$$
=
-1/5
$$- \frac{1}{5}$$
product
-1/5
$$- \frac{1}{5}$$
=
-1/5
$$- \frac{1}{5}$$
-1/5
Numerical answer [src]
x1 = -0.2
x1 = -0.2
The graph
3(2-x)-(5x+4)=0,4-16x equation