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6(3x+1)-3x=11x

6(3x+1)-3x=11x equation

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Numerical solution:

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The solution

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6*(3*x + 1) - 3*x = 11*x
$$- 3 x + 6 \left(3 x + 1\right) = 11 x$$
Detail solution
Given the linear equation:
6*(3*x+1)-3*x = 11*x

Expand brackets in the left part
6*3*x+6*1-3*x = 11*x

Looking for similar summands in the left part:
6 + 15*x = 11*x

Move free summands (without x)
from left part to right part, we given:
$$15 x = 11 x - 6$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = -6$$
Divide both parts of the equation by 4
x = -6 / (4)

We get the answer: x = -3/2
The graph
Rapid solution [src]
x1 = -3/2
$$x_{1} = - \frac{3}{2}$$
x1 = -3/2
Sum and product of roots [src]
sum
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
product
-3/2
$$- \frac{3}{2}$$
=
-3/2
$$- \frac{3}{2}$$
-3/2
Numerical answer [src]
x1 = -1.5
x1 = -1.5
The graph
6(3x+1)-3x=11x equation