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4(1.5x-3)-5.5x=10 equation

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Numerical solution:

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The solution

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  /3*x    \   11*x     
4*|--- - 3| - ---- = 10
  \ 2     /    2       
$$- \frac{11 x}{2} + 4 \left(\frac{3 x}{2} - 3\right) = 10$$
Detail solution
Given the linear equation:
4*((3/2)*x-3)-(11/2)*x = 10

Expand brackets in the left part
4*3/2x-3)-11/2x = 10

Looking for similar summands in the left part:
-12 + x/2 = 10

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{2} = 22$$
Divide both parts of the equation by 1/2
x = 22 / (1/2)

We get the answer: x = 44
The graph
Rapid solution [src]
x1 = 44
$$x_{1} = 44$$
x1 = 44
Sum and product of roots [src]
sum
44
$$44$$
=
44
$$44$$
product
44
$$44$$
=
44
$$44$$
44
Numerical answer [src]
x1 = 44.0
x1 = 44.0