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9(x-5)=-x

9(x-5)=-x equation

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Numerical solution:

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The solution

You have entered [src]
9*(x - 5) = -x
$$9 \left(x - 5\right) = - x$$
Detail solution
Given the linear equation:
9*(x-5) = -x

Expand brackets in the left part
9*x-9*5 = -x

Move free summands (without x)
from left part to right part, we given:
$$9 x = 45 - x$$
Move the summands with the unknown x
from the right part to the left part:
$$10 x = 45$$
Divide both parts of the equation by 10
x = 45 / (10)

We get the answer: x = 9/2
The graph
Sum and product of roots [src]
sum
9/2
$$\frac{9}{2}$$
=
9/2
$$\frac{9}{2}$$
product
9/2
$$\frac{9}{2}$$
=
9/2
$$\frac{9}{2}$$
9/2
Rapid solution [src]
x1 = 9/2
$$x_{1} = \frac{9}{2}$$
x1 = 9/2
Numerical answer [src]
x1 = 4.5
x1 = 4.5
The graph
9(x-5)=-x equation