Mister Exam

6x+12-3x=5-(7x+6) equation

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Numerical solution:

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The solution

You have entered [src]
6*x + 12 - 3*x = 5 + -7*x - 6
$$- 3 x + \left(6 x + 12\right) = \left(- 7 x - 6\right) + 5$$
Detail solution
Given the linear equation:
6*x+12-3*x = 5-(7*x+6)

Expand brackets in the right part
6*x+12-3*x = 5-7*x-6

Looking for similar summands in the left part:
12 + 3*x = 5-7*x-6

Looking for similar summands in the right part:
12 + 3*x = -1 - 7*x

Move free summands (without x)
from left part to right part, we given:
$$3 x = - 7 x - 13$$
Move the summands with the unknown x
from the right part to the left part:
$$10 x = -13$$
Divide both parts of the equation by 10
x = -13 / (10)

We get the answer: x = -13/10
The graph
Rapid solution [src]
     -13 
x1 = ----
      10 
$$x_{1} = - \frac{13}{10}$$
x1 = -13/10
Sum and product of roots [src]
sum
-13 
----
 10 
$$- \frac{13}{10}$$
=
-13 
----
 10 
$$- \frac{13}{10}$$
product
-13 
----
 10 
$$- \frac{13}{10}$$
=
-13 
----
 10 
$$- \frac{13}{10}$$
-13/10
Numerical answer [src]
x1 = -1.3
x1 = -1.3