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(3-x)/3=(2x-1)/2 equation

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Numerical solution:

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The solution

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3 - x   2*x - 1
----- = -------
  3        2   
$$\frac{3 - x}{3} = \frac{2 x - 1}{2}$$
Detail solution
Given the linear equation:
(3-x)/3 = (2*x-1)/2

Expand brackets in the left part
3/3-x/3 = (2*x-1)/2

Expand brackets in the right part
3/3-x/3 = 2*x/2-1/2

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

We get the answer: x = 9/8
The graph
Sum and product of roots [src]
sum
9/8
$$\frac{9}{8}$$
=
9/8
$$\frac{9}{8}$$
product
9/8
$$\frac{9}{8}$$
=
9/8
$$\frac{9}{8}$$
9/8
Rapid solution [src]
x1 = 9/8
$$x_{1} = \frac{9}{8}$$
x1 = 9/8
Numerical answer [src]
x1 = 1.125
x1 = 1.125