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8-5(2x-3)=13-6x

8-5(2x-3)=13-6x equation

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Numerical solution:

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The solution

You have entered [src]
8 - 5*(2*x - 3) = 13 - 6*x
$$- 5 \cdot \left(2 x - 3\right) + 8 = - 6 x + 13$$
Detail solution
Given the linear equation:
8-5*(2*x-3) = 13-6*x

Expand brackets in the left part
8-5*2*x+5*3 = 13-6*x

Looking for similar summands in the left part:
23 - 10*x = 13-6*x

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

We get the answer: x = 5/2
The graph
Rapid solution [src]
x1 = 5/2
$$x_{1} = \frac{5}{2}$$
Sum and product of roots [src]
sum
0 + 5/2
$$0 + \frac{5}{2}$$
=
5/2
$$\frac{5}{2}$$
product
1*5/2
$$1 \cdot \frac{5}{2}$$
=
5/2
$$\frac{5}{2}$$
5/2
Numerical answer [src]
x1 = 2.5
x1 = 2.5
The graph
8-5(2x-3)=13-6x equation