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3x-3=7x-3*(2x-5) equation

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Numerical solution:

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The solution

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3*x - 3 = 7*x - 3*(2*x - 5)
$$3 x - 3 = 7 x - 3 \left(2 x - 5\right)$$
Detail solution
Given the linear equation:
3*x-3 = 7*x-3*(2*x-5)

Expand brackets in the right part
3*x-3 = 7*x-3*2*x+3*5

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

Move free summands (without x)
from left part to right part, we given:
$$3 x = x + 18$$
Move the summands with the unknown x
from the right part to the left part:
$$2 x = 18$$
Divide both parts of the equation by 2
x = 18 / (2)

We get the answer: x = 9
The graph
Rapid solution [src]
x1 = 9
$$x_{1} = 9$$
x1 = 9
Sum and product of roots [src]
sum
9
$$9$$
=
9
$$9$$
product
9
$$9$$
=
9
$$9$$
9
Numerical answer [src]
x1 = 9.0
x1 = 9.0