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

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

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Numerical solution:

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The solution

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

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

Looking for similar summands in the right part:
3 + 2*x = -15 - 4*x

Move free summands (without x)
from left part to right part, we given:
$$2 x = - 4 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$6 x = -18$$
Divide both parts of the equation by 6
x = -18 / (6)

We get the answer: x = -3
The graph
Sum and product of roots [src]
sum
-3
$$-3$$
=
-3
$$-3$$
product
-3
$$-3$$
=
-3
$$-3$$
-3
Rapid solution [src]
x1 = -3
$$x_{1} = -3$$
x1 = -3
Numerical answer [src]
x1 = -3.0
x1 = -3.0
The graph
2x+3=x-5(x+3) equation