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12-4(x-3)=39+9x equation

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Numerical solution:

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The solution

You have entered [src]
12 - 4*(x - 3) = 39 + 9*x
$$12 - 4 \left(x - 3\right) = 9 x + 39$$
Detail solution
Given the linear equation:
12-4*(x-3) = 39+9*x

Expand brackets in the left part
12-4*x+4*3 = 39+9*x

Looking for similar summands in the left part:
24 - 4*x = 39+9*x

Move free summands (without x)
from left part to right part, we given:
$$- 4 x = 9 x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-13\right) x = 15$$
Divide both parts of the equation by -13
x = 15 / (-13)

We get the answer: x = -15/13
The graph
Sum and product of roots [src]
sum
-15 
----
 13 
$$- \frac{15}{13}$$
=
-15 
----
 13 
$$- \frac{15}{13}$$
product
-15 
----
 13 
$$- \frac{15}{13}$$
=
-15 
----
 13 
$$- \frac{15}{13}$$
-15/13
Rapid solution [src]
     -15 
x1 = ----
      13 
$$x_{1} = - \frac{15}{13}$$
x1 = -15/13
Numerical answer [src]
x1 = -1.15384615384615
x1 = -1.15384615384615