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(5*x+4)/2+3=9*x/4

(5*x+4)/2+3=9*x/4 equation

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Numerical solution:

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The solution

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5*x + 4       9*x
------- + 3 = ---
   2           4
$$\frac{5 x + 4}{2} + 3 = \frac{9 x}{4}$$
Simplify
Detail solution
Given the linear equation:
(5*x+4)/2+3 = 9*x/4

Expand brackets in the left part
5*x/2+4/2+3 = 9*x/4

Looking for similar summands in the left part:
5 + 5*x/2 = 9*x/4

Move free summands (without x)
from left part to right part, we given:
$$\frac{5 x}{2} = \frac{9 x}{4} - 5$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{4} = -5$$
Divide both parts of the equation by 1/4
x = -5 / (1/4)

We get the answer: x = -20
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -20
$$x_{1} = -20$$ 
x1 = -20
Sum and product of roots [src] 
sum
-20
$$-20$$ 
=
-20
$$-20$$ 
product
-20
$$-20$$ 
=
-20
$$-20$$ 
-20
Numerical answer [src] 
x1 = -20.0
x1 = -20.0
The graph
(5*x+4)/2+3=9*x/4 equation
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