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3(x-7)-6x=-x

3(x-7)-6x=-x equation

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Numerical solution:

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The solution

You have entered [src]
3*(x - 7) - 6*x = -x
$$- 6 x + 3 \left(x - 7\right) = - x$$
Detail solution
Given the linear equation:
3*(x-7)-6*x = -x

Expand brackets in the left part
3*x-3*7-6*x = -x

Looking for similar summands in the left part:
-21 - 3*x = -x

Move free summands (without x)
from left part to right part, we given:
$$- 3 x = 21 - x$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-2\right) x = 21$$
Divide both parts of the equation by -2
x = 21 / (-2)

We get the answer: x = -21/2
The graph
Sum and product of roots [src]
sum
-21/2
$$- \frac{21}{2}$$
=
-21/2
$$- \frac{21}{2}$$
product
-21/2
$$- \frac{21}{2}$$
=
-21/2
$$- \frac{21}{2}$$
-21/2
Rapid solution [src]
x1 = -21/2
$$x_{1} = - \frac{21}{2}$$
x1 = -21/2
Numerical answer [src]
x1 = -10.5
x1 = -10.5
The graph
3(x-7)-6x=-x equation