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(x-4)/4=(x+3)/7

(x-4)/4=(x+3)/7 equation

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Numerical solution:

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The solution

You have entered [src]
x - 4   x + 3
----- = -----
  4       7  
$$\frac{x - 4}{4} = \frac{x + 3}{7}$$
Detail solution
Given the linear equation:
(x-4)/4 = (x+3)/7

Expand brackets in the left part
x/4-4/4 = (x+3)/7

Expand brackets in the right part
x/4-4/4 = x/7+3/7

Move free summands (without x)
from left part to right part, we given:
$$\frac{x}{4} = \frac{x}{7} + \frac{10}{7}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{3 x}{28} = \frac{10}{7}$$
Divide both parts of the equation by 3/28
x = 10/7 / (3/28)

We get the answer: x = 40/3
The graph
Rapid solution [src]
x1 = 40/3
$$x_{1} = \frac{40}{3}$$
x1 = 40/3
Sum and product of roots [src]
sum
40/3
$$\frac{40}{3}$$
=
40/3
$$\frac{40}{3}$$
product
40/3
$$\frac{40}{3}$$
=
40/3
$$\frac{40}{3}$$
40/3
Numerical answer [src]
x1 = 13.3333333333333
x1 = 13.3333333333333
The graph
(x-4)/4=(x+3)/7 equation