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(9x-4)/5-(6x-1)/7=5

(9x-4)/5-(6x-1)/7=5 equation

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Numerical solution:

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The solution

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9*x - 4   6*x - 1    
------- - ------- = 5
   5         7       
$$- \frac{6 x - 1}{7} + \frac{9 x - 4}{5} = 5$$
Detail solution
Given the linear equation:
(9*x-4)/5-(6*x-1)/7 = 5

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

Looking for similar summands in the left part:
-23/35 + 33*x/35 = 5

Move free summands (without x)
from left part to right part, we given:
$$\frac{33 x}{35} = \frac{198}{35}$$
Divide both parts of the equation by 33/35
x = 198/35 / (33/35)

We get the answer: x = 6
The graph
Rapid solution [src]
x1 = 6
$$x_{1} = 6$$
Sum and product of roots [src]
sum
0 + 6
$$0 + 6$$
=
6
$$6$$
product
1*6
$$1 \cdot 6$$
=
6
$$6$$
6
Numerical answer [src]
x1 = 6.0
x1 = 6.0
The graph
(9x-4)/5-(6x-1)/7=5 equation