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6=3x-2/2*2,4 equation

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Numerical solution:

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The solution

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6 = 3*x - 12/5
$$6 = 3 x - \frac{12}{5}$$
Detail solution
Given the linear equation:
6 = 3*x-2/2*(12/5)

Expand brackets in the right part
6 = 3*x-2/2*12/5

Move free summands (without x)
from left part to right part, we given:
$$0 = 3 x - \frac{42}{5}$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = - \frac{42}{5}$$
Divide both parts of the equation by -3
x = -42/5 / (-3)

We get the answer: x = 14/5
The graph
Sum and product of roots [src]
sum
14/5
$$\frac{14}{5}$$
=
14/5
$$\frac{14}{5}$$
product
14/5
$$\frac{14}{5}$$
=
14/5
$$\frac{14}{5}$$
14/5
Rapid solution [src]
x1 = 14/5
$$x_{1} = \frac{14}{5}$$
x1 = 14/5
Numerical answer [src]
x1 = 2.8
x1 = 2.8