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34,5+2x=7x+8,5 equation

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Numerical solution:

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The solution

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69/2 + 2*x = 7*x + 17/2
$$2 x + \frac{69}{2} = 7 x + \frac{17}{2}$$
Detail solution
Given the linear equation:
(69/2)+2*x = 7*x+(17/2)

Expand brackets in the left part
69/2+2*x = 7*x+(17/2)

Expand brackets in the right part
69/2+2*x = 7*x+17/2

Move free summands (without x)
from left part to right part, we given:
$$2 x = 7 x - 26$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-5\right) x = -26$$
Divide both parts of the equation by -5
x = -26 / (-5)

We get the answer: x = 26/5
The graph
Rapid solution [src]
x1 = 26/5
$$x_{1} = \frac{26}{5}$$
x1 = 26/5
Sum and product of roots [src]
sum
26/5
$$\frac{26}{5}$$
=
26/5
$$\frac{26}{5}$$
product
26/5
$$\frac{26}{5}$$
=
26/5
$$\frac{26}{5}$$
26/5
Numerical answer [src]
x1 = 5.2
x1 = 5.2