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2x+3=3(3x-5)+11x

2x+3=3(3x-5)+11x equation

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Numerical solution:

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The solution

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2*x + 3 = 3*(3*x - 5) + 11*x
$$2 x + 3 = 11 x + 3 \left(3 x - 5\right)$$
Detail solution
Given the linear equation:
2*x+3 = 3*(3*x-5)+11*x

Expand brackets in the right part
2*x+3 = 3*3*x-3*5+11*x

Looking for similar summands in the right part:
3 + 2*x = -15 + 20*x

Move free summands (without x)
from left part to right part, we given:
$$2 x = 20 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-18\right) x = -18$$
Divide both parts of the equation by -18
x = -18 / (-18)

We get the answer: x = 1
The graph
Sum and product of roots [src]
sum
1
$$1$$
=
1
$$1$$
product
1
$$1$$
=
1
$$1$$
1
Rapid solution [src]
x1 = 1
$$x_{1} = 1$$
x1 = 1
Numerical answer [src]
x1 = 1.0
x1 = 1.0
The graph
2x+3=3(3x-5)+11x equation