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6=8-5(7x-1)

6=8-5(7x-1) equation

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Numerical solution:

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The solution

You have entered [src]
6 = 8 - 5*(7*x - 1)
$$6 = 8 - 5 \left(7 x - 1\right)$$
Detail solution
Given the linear equation:
6 = 8-5*(7*x-1)

Expand brackets in the right part
6 = 8-5*7*x+5*1

Looking for similar summands in the right part:
6 = 13 - 35*x

Move free summands (without x)
from left part to right part, we given:
$$0 = 7 - 35 x$$
Move the summands with the unknown x
from the right part to the left part:
$$35 x = 7$$
Divide both parts of the equation by 35
x = 7 / (35)

We get the answer: x = 1/5
The graph
Sum and product of roots [src]
sum
1/5
$$\frac{1}{5}$$
=
1/5
$$\frac{1}{5}$$
product
1/5
$$\frac{1}{5}$$
=
1/5
$$\frac{1}{5}$$
1/5
Rapid solution [src]
x1 = 1/5
$$x_{1} = \frac{1}{5}$$
x1 = 1/5
Numerical answer [src]
x1 = 0.2
x1 = 0.2
The graph
6=8-5(7x-1) equation