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4x-5(6-x)=2x-2 equation

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Numerical solution:

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The solution

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4*x - 5*(6 - x) = 2*x - 2
$$4 x - 5 \left(6 - x\right) = 2 x - 2$$
Detail solution
Given the linear equation:
4*x-5*(6-x) = 2*x-2

Expand brackets in the left part
4*x-5*6+5*x = 2*x-2

Looking for similar summands in the left part:
-30 + 9*x = 2*x-2

Move free summands (without x)
from left part to right part, we given:
$$9 x = 2 x + 28$$
Move the summands with the unknown x
from the right part to the left part:
$$7 x = 28$$
Divide both parts of the equation by 7
x = 28 / (7)

We get the answer: x = 4
The graph
Rapid solution [src]
x1 = 4
$$x_{1} = 4$$
x1 = 4
Sum and product of roots [src]
sum
4
$$4$$
=
4
$$4$$
product
4
$$4$$
=
4
$$4$$
4
Numerical answer [src]
x1 = 4.0
x1 = 4.0