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-x-2+3*(x-3)=3*(4-x)-3

-x-2+3*(x-3)=3*(4-x)-3 equation

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Numerical solution:

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The solution

You have entered [src]
-x - 2 + 3*(x - 3) = 3*(4 - x) - 3
$$- x + 3 \left(x - 3\right) - 2 = 3 \cdot \left(4 - x\right) - 3$$
Detail solution
Given the linear equation:
-x-2+3*(x-3) = 3*(4-x)-3

Expand brackets in the left part
-x-2+3*x-3*3 = 3*(4-x)-3

Expand brackets in the right part
-x-2+3*x-3*3 = 3*4-3*x-3

Looking for similar summands in the left part:
-11 + 2*x = 3*4-3*x-3

Looking for similar summands in the right part:
-11 + 2*x = 9 - 3*x

Move free summands (without x)
from left part to right part, we given:
$$2 x = 20 - 3 x$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 20$$
Divide both parts of the equation by 5
x = 20 / (5)

We get the answer: x = 4
The graph
Rapid solution [src]
x1 = 4
$$x_{1} = 4$$
Sum and product of roots [src]
sum
0 + 4
$$0 + 4$$
=
4
$$4$$
product
1*4
$$1 \cdot 4$$
=
4
$$4$$
4
Numerical answer [src]
x1 = 4.0
x1 = 4.0
The graph
-x-2+3*(x-3)=3*(4-x)-3 equation