Mister Exam

4x+7/3+2=7x/2 equation

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Numerical solution:

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The solution

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                7*x
4*x + 7/3 + 2 = ---
                 2 
$$\left(4 x + \frac{7}{3}\right) + 2 = \frac{7 x}{2}$$
Detail solution
Given the linear equation:
4*x+7/3+2 = 7*x/2

Looking for similar summands in the left part:
13/3 + 4*x = 7*x/2

Move free summands (without x)
from left part to right part, we given:
$$4 x = \frac{7 x}{2} - \frac{13}{3}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{x}{2} = - \frac{13}{3}$$
Divide both parts of the equation by 1/2
x = -13/3 / (1/2)

We get the answer: x = -26/3
The graph
Rapid solution [src]
x1 = -26/3
$$x_{1} = - \frac{26}{3}$$
x1 = -26/3
Sum and product of roots [src]
sum
-26/3
$$- \frac{26}{3}$$
=
-26/3
$$- \frac{26}{3}$$
product
-26/3
$$- \frac{26}{3}$$
=
-26/3
$$- \frac{26}{3}$$
-26/3
Numerical answer [src]
x1 = -8.66666666666667
x1 = -8.66666666666667