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-8x+4(7-9x)=x-4 equation

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Numerical solution:

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The solution

You have entered [src] 
-8*x + 4*(7 - 9*x) = x - 4
$$- 8 x + 4 \left(7 - 9 x\right) = x - 4$$
Simplify
Detail solution
Given the linear equation:
-8*x+4*(7-9*x) = x-4

Expand brackets in the left part
-8*x+4*7-4*9*x = x-4

Looking for similar summands in the left part:
28 - 44*x = x-4

Move free summands (without x)
from left part to right part, we given:
$$- 44 x = x - 32$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-45\right) x = -32$$
Divide both parts of the equation by -45
x = -32 / (-45)

We get the answer: x = 32/45
The graph
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
     32
x1 = --
     45
$$x_{1} = \frac{32}{45}$$ 
x1 = 32/45
Sum and product of roots [src] 
sum
32
--
45
$$\frac{32}{45}$$ 
=
32
--
45
$$\frac{32}{45}$$ 
product
32
--
45
$$\frac{32}{45}$$ 
=
32
--
45
$$\frac{32}{45}$$ 
32/45
Numerical answer [src] 
x1 = 0.711111111111111
x1 = 0.711111111111111
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