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2x+7=3x-2(3x-1)

2x+7=3x-2(3x-1) equation

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Numerical solution:

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The solution

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2*x + 7 = 3*x - 2*(3*x - 1)
$$2 x + 7 = 3 x - 2 \left(3 x - 1\right)$$
Detail solution
Given the linear equation:
2*x+7 = 3*x-2*(3*x-1)

Expand brackets in the right part
2*x+7 = 3*x-2*3*x+2*1

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

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

We get the answer: x = -1
The graph
Sum and product of roots [src]
sum
-1
$$-1$$
=
-1
$$-1$$
product
-1
$$-1$$
=
-1
$$-1$$
-1
Rapid solution [src]
x1 = -1
$$x_{1} = -1$$
x1 = -1
Numerical answer [src]
x1 = -1.0
x1 = -1.0
The graph
2x+7=3x-2(3x-1) equation