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2(x-1)-5=3x+2

2(x-1)-5=3x+2 equation

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Numerical solution:

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The solution

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2*(x - 1) - 5 = 3*x + 2
$$2 \left(x - 1\right) - 5 = 3 x + 2$$
Detail solution
Given the linear equation:
2*(x-1)-5 = 3*x+2

Expand brackets in the left part
2*x-2*1-5 = 3*x+2

Looking for similar summands in the left part:
-7 + 2*x = 3*x+2

Move free summands (without x)
from left part to right part, we given:
$$2 x = 3 x + 9$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 9$$
Divide both parts of the equation by -1
x = 9 / (-1)

We get the answer: x = -9
The graph
Rapid solution [src]
x1 = -9
$$x_{1} = -9$$
x1 = -9
Sum and product of roots [src]
sum
-9
$$-9$$
=
-9
$$-9$$
product
-9
$$-9$$
=
-9
$$-9$$
-9
Numerical answer [src]
x1 = -9.0
x1 = -9.0
The graph
2(x-1)-5=3x+2 equation