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28-5(2x-3)=13-6x equation

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Numerical solution:

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The solution

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28 - 5*(2*x - 3) = 13 - 6*x
$$28 - 5 \left(2 x - 3\right) = 13 - 6 x$$
Detail solution
Given the linear equation:
28-5*(2*x-3) = 13-6*x

Expand brackets in the left part
28-5*2*x+5*3 = 13-6*x

Looking for similar summands in the left part:
43 - 10*x = 13-6*x

Move free summands (without x)
from left part to right part, we given:
$$- 10 x = - 6 x - 30$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = -30$$
Divide both parts of the equation by -4
x = -30 / (-4)

We get the answer: x = 15/2
The graph
Rapid solution [src]
x1 = 15/2
$$x_{1} = \frac{15}{2}$$
x1 = 15/2
Sum and product of roots [src]
sum
15/2
$$\frac{15}{2}$$
=
15/2
$$\frac{15}{2}$$
product
15/2
$$\frac{15}{2}$$
=
15/2
$$\frac{15}{2}$$
15/2
Numerical answer [src]
x1 = 7.5
x1 = 7.5