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5(2-5x)-7(4x-1)=6x-42

5(2-5x)-7(4x-1)=6x-42 equation

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Numerical solution:

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The solution

You have entered [src]
5*(2 - 5*x) - 7*(4*x - 1) = 6*x - 42
$$5 \cdot \left(- 5 x + 2\right) - 7 \cdot \left(4 x - 1\right) = 6 x - 42$$
Detail solution
Given the linear equation:
5*(2-5*x)-7*(4*x-1) = 6*x-42

Expand brackets in the left part
5*2-5*5*x-7*4*x+7*1 = 6*x-42

Looking for similar summands in the left part:
17 - 53*x = 6*x-42

Move free summands (without x)
from left part to right part, we given:
$$- 53 x = 6 x - 59$$
Move the summands with the unknown x
from the right part to the left part:
$$- 59 x = -59$$
Divide both parts of the equation by -59
x = -59 / (-59)

We get the answer: x = 1
The graph
Rapid solution [src]
x1 = 1
$$x_{1} = 1$$
Sum and product of roots [src]
sum
0 + 1
$$0 + 1$$
=
1
$$1$$
product
1*1
$$1 \cdot 1$$
=
1
$$1$$
1
Numerical answer [src]
x1 = 1.0
x1 = 1.0
The graph
5(2-5x)-7(4x-1)=6x-42 equation