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4(0,2x–7)–5(0,3x+6)=5 equation

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Numerical solution:

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The solution

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  /x    \     /3*x    \    
4*|- - 7| - 5*|--- + 6| = 5
  \5    /     \ 10    /    
$$4 \left(\frac{x}{5} - 7\right) - 5 \left(\frac{3 x}{10} + 6\right) = 5$$
Detail solution
Given the linear equation:
4*((1/5)*x-7)-5*((3/10)*x+6) = 5

Expand brackets in the left part
4*1/5x-7)-5*3/10x+6) = 5

Looking for similar summands in the left part:
-58 - 7*x/10 = 5

Move free summands (without x)
from left part to right part, we given:
$$- \frac{7 x}{10} = 63$$
Divide both parts of the equation by -7/10
x = 63 / (-7/10)

We get the answer: x = -90
The graph
Rapid solution [src]
x1 = -90
$$x_{1} = -90$$
x1 = -90
Sum and product of roots [src]
sum
-90
$$-90$$
=
-90
$$-90$$
product
-90
$$-90$$
=
-90
$$-90$$
-90
Numerical answer [src]
x1 = -90.0
x1 = -90.0