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0,4x-6=0,6x-9

0,4x-6=0,6x-9 equation

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Numerical solution:

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The solution

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2*x       3*x    
--- - 6 = --- - 9
 5         5
$$\frac{2 x}{5} - 6 = \frac{3 x}{5} - 9$$
Simplify
Detail solution
Given the linear equation:
(2/5)*x-6 = (3/5)*x-9

Expand brackets in the left part
2/5x-6 = (3/5)*x-9

Expand brackets in the right part
2/5x-6 = 3/5x-9

Move free summands (without x)
from left part to right part, we given:
$$\frac{2 x}{5} = \frac{3 x}{5} - 3$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-1\right) x}{5} = -3$$
Divide both parts of the equation by -1/5
x = -3 / (-1/5)

We get the answer: x = 15
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
15
$$15$$ 
=
15
$$15$$ 
product
15
$$15$$ 
=
15
$$15$$ 
15
Rapid solution [src] 
x1 = 15
$$x_{1} = 15$$ 
x1 = 15
Numerical answer [src] 
x1 = 15.0
x1 = 15.0
The graph
0,4x-6=0,6x-9 equation
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