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

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Numerical solution:

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The solution

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

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

Looking for similar summands in the left part:
-33 + 21*x = 2

Move free summands (without x)
from left part to right part, we given:
$$21 x = 35$$
Divide both parts of the equation by 21
x = 35 / (21)

We get the answer: x = 5/3
The graph
Rapid solution [src]
x1 = 5/3
$$x_{1} = \frac{5}{3}$$
x1 = 5/3
Sum and product of roots [src]
sum
5/3
$$\frac{5}{3}$$
=
5/3
$$\frac{5}{3}$$
product
5/3
$$\frac{5}{3}$$
=
5/3
$$\frac{5}{3}$$
5/3
Numerical answer [src]
x1 = 1.66666666666667
x1 = 1.66666666666667