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-5(x-7)=30-(2x+1) equation

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Numerical solution:

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The solution

You have entered [src]
-5*(x - 7) = 30 + -2*x - 1
$$- 5 \left(x - 7\right) = \left(- 2 x - 1\right) + 30$$
Detail solution
Given the linear equation:
-5*(x-7) = 30-(2*x+1)

Expand brackets in the left part
-5*x+5*7 = 30-(2*x+1)

Expand brackets in the right part
-5*x+5*7 = 30-2*x-1

Looking for similar summands in the right part:
35 - 5*x = 29 - 2*x

Move free summands (without x)
from left part to right part, we given:
$$- 5 x = - 2 x - 6$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-3\right) x = -6$$
Divide both parts of the equation by -3
x = -6 / (-3)

We get the answer: x = 2
The graph
Rapid solution [src]
x1 = 2
$$x_{1} = 2$$
x1 = 2
Sum and product of roots [src]
sum
2
$$2$$
=
2
$$2$$
product
2
$$2$$
=
2
$$2$$
2
Numerical answer [src]
x1 = 2.0
x1 = 2.0