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3x-5+4(5-7x)-2(6-8x)=0 equation

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Numerical solution:

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The solution

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3*x - 5 + 4*(5 - 7*x) - 2*(6 - 8*x) = 0
$$- 2 \left(6 - 8 x\right) + \left(4 \left(5 - 7 x\right) + \left(3 x - 5\right)\right) = 0$$
Detail solution
Given the linear equation:
3*x-5+4*(5-7*x)-2*(6-8*x) = 0

Expand brackets in the left part
3*x-5+4*5-4*7*x-2*6+2*8*x = 0

Looking for similar summands in the left part:
3 - 9*x = 0

Move free summands (without x)
from left part to right part, we given:
$$- 9 x = -3$$
Divide both parts of the equation by -9
x = -3 / (-9)

We get the answer: x = 1/3
The graph
Sum and product of roots [src]
sum
1/3
$$\frac{1}{3}$$
=
1/3
$$\frac{1}{3}$$
product
1/3
$$\frac{1}{3}$$
=
1/3
$$\frac{1}{3}$$
1/3
Rapid solution [src]
x1 = 1/3
$$x_{1} = \frac{1}{3}$$
x1 = 1/3
Numerical answer [src]
x1 = 0.333333333333333
x1 = 0.333333333333333