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4x+2(1-3x)=13

4x+2(1-3x)=13 equation

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Numerical solution:

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The solution

You have entered [src]
4*x + 2*(1 - 3*x) = 13
$$4 x + 2 \left(1 - 3 x\right) = 13$$
Detail solution
Given the linear equation:
4*x+2*(1-3*x) = 13

Expand brackets in the left part
4*x+2*1-2*3*x = 13

Looking for similar summands in the left part:
2 - 2*x = 13

Move free summands (without x)
from left part to right part, we given:
$$- 2 x = 11$$
Divide both parts of the equation by -2
x = 11 / (-2)

We get the answer: x = -11/2
The graph
Rapid solution [src]
x1 = -11/2
$$x_{1} = - \frac{11}{2}$$
x1 = -11/2
Sum and product of roots [src]
sum
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
product
-11/2
$$- \frac{11}{2}$$
=
-11/2
$$- \frac{11}{2}$$
-11/2
Numerical answer [src]
x1 = -5.5
x1 = -5.5
The graph
4x+2(1-3x)=13 equation