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23-4,6x=3,6x-19 equation

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Numerical solution:

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The solution

You have entered [src]
     23*x   18*x     
23 - ---- = ---- - 19
      5      5       
$$23 - \frac{23 x}{5} = \frac{18 x}{5} - 19$$
Detail solution
Given the linear equation:
23-(23/5)*x = (18/5)*x-19

Expand brackets in the left part
23-23/5x = (18/5)*x-19

Expand brackets in the right part
23-23/5x = 18/5x-19

Move free summands (without x)
from left part to right part, we given:
$$- \frac{23 x}{5} = \frac{18 x}{5} - 42$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-41\right) x}{5} = -42$$
Divide both parts of the equation by -41/5
x = -42 / (-41/5)

We get the answer: x = 210/41
The graph
Rapid solution [src]
     210
x1 = ---
      41
$$x_{1} = \frac{210}{41}$$
x1 = 210/41
Sum and product of roots [src]
sum
210
---
 41
$$\frac{210}{41}$$
=
210
---
 41
$$\frac{210}{41}$$
product
210
---
 41
$$\frac{210}{41}$$
=
210
---
 41
$$\frac{210}{41}$$
210/41
Numerical answer [src]
x1 = 5.1219512195122
x1 = 5.1219512195122