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2x-11=6x-4*(2x-1) equation

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Numerical solution:

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The solution

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2*x - 11 = 6*x - 4*(2*x - 1)
$$2 x - 11 = 6 x - 4 \left(2 x - 1\right)$$
Detail solution
Given the linear equation:
2*x-11 = 6*x-4*(2*x-1)

Expand brackets in the right part
2*x-11 = 6*x-4*2*x+4*1

Looking for similar summands in the right part:
-11 + 2*x = 4 - 2*x

Move free summands (without x)
from left part to right part, we given:
$$2 x = 15 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = 15$$
Divide both parts of the equation by 4
x = 15 / (4)

We get the answer: x = 15/4
The graph
Sum and product of roots [src]
sum
15/4
$$\frac{15}{4}$$
=
15/4
$$\frac{15}{4}$$
product
15/4
$$\frac{15}{4}$$
=
15/4
$$\frac{15}{4}$$
15/4
Rapid solution [src]
x1 = 15/4
$$x_{1} = \frac{15}{4}$$
x1 = 15/4
Numerical answer [src]
x1 = 3.75
x1 = 3.75