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7x=13-2(8x-7) equation

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Numerical solution:

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The solution

You have entered [src]
7*x = 13 - 2*(8*x - 7)
$$7 x = 13 - 2 \left(8 x - 7\right)$$
Detail solution
Given the linear equation:
7*x = 13-2*(8*x-7)

Expand brackets in the right part
7*x = 13-2*8*x+2*7

Looking for similar summands in the right part:
7*x = 27 - 16*x

Move the summands with the unknown x
from the right part to the left part:
$$23 x = 27$$
Divide both parts of the equation by 23
x = 27 / (23)

We get the answer: x = 27/23
The graph
Rapid solution [src]
     27
x1 = --
     23
$$x_{1} = \frac{27}{23}$$
x1 = 27/23
Sum and product of roots [src]
sum
27
--
23
$$\frac{27}{23}$$
=
27
--
23
$$\frac{27}{23}$$
product
27
--
23
$$\frac{27}{23}$$
=
27
--
23
$$\frac{27}{23}$$
27/23
Numerical answer [src]
x1 = 1.17391304347826
x1 = 1.17391304347826