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2*x-5x+9=x-2 equation

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Numerical solution:

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The solution

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2*x - 5*x + 9 = x - 2
$$\left(- 5 x + 2 x\right) + 9 = x - 2$$
Detail solution
Given the linear equation:
2*x-5*x+9 = x-2

Looking for similar summands in the left part:
9 - 3*x = x-2

Move free summands (without x)
from left part to right part, we given:
$$- 3 x = x - 11$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = -11$$
Divide both parts of the equation by -4
x = -11 / (-4)

We get the answer: x = 11/4
The graph
Rapid solution [src]
x1 = 11/4
$$x_{1} = \frac{11}{4}$$
x1 = 11/4
Sum and product of roots [src]
sum
11/4
$$\frac{11}{4}$$
=
11/4
$$\frac{11}{4}$$
product
11/4
$$\frac{11}{4}$$
=
11/4
$$\frac{11}{4}$$
11/4
Numerical answer [src]
x1 = 2.75
x1 = 2.75