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

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

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Numerical solution:

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The solution

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

Expand brackets in the left part
5*x-5*3 = -2*(3+x)

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

Move free summands (without x)
from left part to right part, we given:
$$5 x = 9 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = 9$$
Divide both parts of the equation by 7
x = 9 / (7)

We get the answer: x = 9/7
The graph
Rapid solution [src]
x1 = 9/7
$$x_{1} = \frac{9}{7}$$
x1 = 9/7
Sum and product of roots [src]
sum
9/7
$$\frac{9}{7}$$
=
9/7
$$\frac{9}{7}$$
product
9/7
$$\frac{9}{7}$$
=
9/7
$$\frac{9}{7}$$
9/7
Numerical answer [src]
x1 = 1.28571428571429
x1 = 1.28571428571429
The graph
5(x-3)=-2(3+x) equation