Mister Exam

3x-11=6x-4(2x-1) equation

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Numerical solution:

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The solution

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3*x - 11 = 6*x - 4*(2*x - 1)
$$3 x - 11 = 6 x - 4 \cdot \left(2 x - 1\right)$$
Detail solution
Given the linear equation:
3*x-11 = 6*x-4*(2*x-1)

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

Looking for similar summands in the right part:
-11 + 3*x = 4 - 2*x

Move free summands (without x)
from left part to right part, we given:
$$3 x = - 2 x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$5 x = 15$$
Divide both parts of the equation by 5
x = 15 / (5)

We get the answer: x = 3
The graph
Rapid solution [src]
x_1 = 3
$$x_{1} = 3$$
Sum and product of roots [src]
sum
3
$$\left(3\right)$$
=
3
$$3$$
product
3
$$\left(3\right)$$
=
3
$$3$$
Numerical answer [src]
x1 = 3.0
x1 = 3.0
The graph
3x-11=6x-4(2x-1) equation