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

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

     23*x   18*x     
23 - ---- = ---- - 19
      5      5

23 - \frac{23 x}{5} = \frac{18 x}{5} - 19

Simplify

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

Plot the graph f1(x)

Plot the graph f2(x)

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