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3-4(1-6x)=2(3x+4)

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

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Numerical solution:

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The solution

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

Expand brackets in the left part
3-4*1+4*6*x = 2*(3*x+4)

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

Looking for similar summands in the left part:
-1 + 24*x = 2*3*x+2*4

Move free summands (without x)
from left part to right part, we given:
$$24 x = 6 x + 9$$
Move the summands with the unknown x
from the right part to the left part:
$$18 x = 9$$
Divide both parts of the equation by 18
x = 9 / (18)

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