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10x−4(x+1)=−2x

10x−4(x+1)=−2x equation

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Numerical solution:

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The solution

You have entered [src]
10*x - 4*(x + 1) = -2*x
$$10 x - 4 \left(x + 1\right) = - 2 x$$
Detail solution
Given the linear equation:
10*x-4*(x+1) = -2*x

Expand brackets in the left part
10*x-4*x-4*1 = -2*x

Looking for similar summands in the left part:
-4 + 6*x = -2*x

Move free summands (without x)
from left part to right part, we given:
$$6 x = 4 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$8 x = 4$$
Divide both parts of the equation by 8
x = 4 / (8)

We get the answer: x = 1/2
The graph
Sum and product of roots [src]
sum
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
product
1/2
$$\frac{1}{2}$$
=
1/2
$$\frac{1}{2}$$
1/2
Rapid solution [src]
x1 = 1/2
$$x_{1} = \frac{1}{2}$$
x1 = 1/2
Numerical answer [src]
x1 = 0.5
x1 = 0.5
The graph
10x−4(x+1)=−2x equation