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8-5(2x-3)=13-6x

8-5(2x-3)=13-6x equation

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Numerical solution:

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The solution

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8 - 5*(2*x - 3) = 13 - 6*x
−5⋅(2x−3)+8=−6x+13- 5 \cdot \left(2 x - 3\right) + 8 = - 6 x + 13
Simplify
Detail solution
Given the linear equation:
8-5*(2*x-3) = 13-6*x

Expand brackets in the left part
8-5*2*x+5*3 = 13-6*x

Looking for similar summands in the left part:
23 - 10*x = 13-6*x

Move free summands (without x)
from left part to right part, we given:
−10x=−6x−10- 10 x = - 6 x - 10
Move the summands with the unknown x
from the right part to the left part:
−4x=−10- 4 x = -10
Divide both parts of the equation by -4
x = -10 / (-4)

We get the answer: x = 5/2
The graph
02468-6-4-21012-200200
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = 5/2
x1=52x_{1} = \frac{5}{2}
Simplify
Sum and product of roots [src] 
sum
0 + 5/2
0+520 + \frac{5}{2} 
=
5/2
52\frac{5}{2} 
product
1*5/2
1⋅521 \cdot \frac{5}{2} 
=
5/2
52\frac{5}{2} 
5/2
Numerical answer [src] 
x1 = 2.5
x1 = 2.5
The graph
8-5(2x-3)=13-6x equation
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