Mister Exam

(X+3)/5=6+(x/2) equation

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Numerical solution:

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The solution

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x + 3       x
----- = 6 + -
  5         2
x+35=x2+6\frac{x + 3}{5} = \frac{x}{2} + 6
Detail solution
Given the linear equation:
(x+3)/5 = 6+(x/2)

Expand brackets in the left part
x/5+3/5 = 6+(x/2)

Expand brackets in the right part
x/5+3/5 = 6+x/2

Move free summands (without x)
from left part to right part, we given:
x5=x2+275\frac{x}{5} = \frac{x}{2} + \frac{27}{5}
Move the summands with the unknown x
from the right part to the left part:
(3)x10=275\frac{\left(-3\right) x}{10} = \frac{27}{5}
Divide both parts of the equation by -3/10
x = 27/5 / (-3/10)

We get the answer: x = -18
The graph
-28-26-24-22-20-18-16-14-12-10-8-1010
Rapid solution [src]
x1 = -18
x1=18x_{1} = -18
x1 = -18
Sum and product of roots [src]
sum
-18
18-18
=
-18
18-18
product
-18
18-18
=
-18
18-18
-18
Numerical answer [src]
x1 = -18.0
x1 = -18.0