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5x-6(5+2x)=x-2

5x-6(5+2x)=x-2 equation

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Numerical solution:

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The solution

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

Expand brackets in the left part
5*x-6*5-6*2*x = x-2

Looking for similar summands in the left part:
-30 - 7*x = x-2

Move free summands (without x)
from left part to right part, we given:
$$- 7 x = x + 28$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-8\right) x = 28$$
Divide both parts of the equation by -8
x = 28 / (-8)

We get the answer: x = -7/2
The graph
Sum and product of roots [src]
sum
-7/2
$$- \frac{7}{2}$$
=
-7/2
$$- \frac{7}{2}$$
product
-7/2
$$- \frac{7}{2}$$
=
-7/2
$$- \frac{7}{2}$$
-7/2
Rapid solution [src]
x1 = -7/2
$$x_{1} = - \frac{7}{2}$$
x1 = -7/2
Numerical answer [src]
x1 = -3.5
x1 = -3.5
The graph
5x-6(5+2x)=x-2 equation