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8-5(2x-3)=12-6x equation

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Numerical solution:

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The solution

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8 - 5*(2*x - 3) = 12 - 6*x
$$8 - 5 \left(2 x - 3\right) = 12 - 6 x$$
Detail solution
Given the linear equation:
8-5*(2*x-3) = 12-6*x

Expand brackets in the left part
8-5*2*x+5*3 = 12-6*x

Looking for similar summands in the left part:
23 - 10*x = 12-6*x

Move free summands (without x)
from left part to right part, we given:
$$- 10 x = - 6 x - 11$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-4\right) x = -11$$
Divide both parts of the equation by -4
x = -11 / (-4)

We get the answer: x = 11/4
The graph
Sum and product of roots [src]
sum
11/4
$$\frac{11}{4}$$
=
11/4
$$\frac{11}{4}$$
product
11/4
$$\frac{11}{4}$$
=
11/4
$$\frac{11}{4}$$
11/4
Rapid solution [src]
x1 = 11/4
$$x_{1} = \frac{11}{4}$$
x1 = 11/4
Numerical answer [src]
x1 = 2.75
x1 = 2.75