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30.5-(x-2.57)=13.49 equation

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Numerical solution:

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The solution

You have entered [src]
61        257   1349
-- + -x + --- = ----
2         100   100 
$$\left(\frac{257}{100} - x\right) + \frac{61}{2} = \frac{1349}{100}$$
Detail solution
Given the linear equation:
(61/2)-(x-(257/100)) = (1349/100)

Expand brackets in the left part
61/2-x-257/100) = (1349/100)

Expand brackets in the right part
61/2-x-257/100) = 1349/100

Move free summands (without x)
from left part to right part, we given:
$$- x = - \frac{979}{50}$$
Divide both parts of the equation by -1
x = -979/50 / (-1)

We get the answer: x = 979/50
The graph
Rapid solution [src]
     979
x1 = ---
      50
$$x_{1} = \frac{979}{50}$$
x1 = 979/50
Sum and product of roots [src]
sum
979
---
 50
$$\frac{979}{50}$$
=
979
---
 50
$$\frac{979}{50}$$
product
979
---
 50
$$\frac{979}{50}$$
=
979
---
 50
$$\frac{979}{50}$$
979/50
Numerical answer [src]
x1 = 19.58
x1 = 19.58