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6(4x+3)-9=3(6x-9)

6(4x+3)-9=3(6x-9) equation

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Numerical solution:

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The solution

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6*(4*x + 3) - 9 = 3*(6*x - 9)
$$6 \left(4 x + 3\right) - 9 = 3 \left(6 x - 9\right)$$
Detail solution
Given the linear equation:
6*(4*x+3)-9 = 3*(6*x-9)

Expand brackets in the left part
6*4*x+6*3-9 = 3*(6*x-9)

Expand brackets in the right part
6*4*x+6*3-9 = 3*6*x-3*9

Looking for similar summands in the left part:
9 + 24*x = 3*6*x-3*9

Move free summands (without x)
from left part to right part, we given:
$$24 x = 18 x - 36$$
Move the summands with the unknown x
from the right part to the left part:
$$6 x = -36$$
Divide both parts of the equation by 6
x = -36 / (6)

We get the answer: x = -6
The graph
Sum and product of roots [src]
sum
-6
$$-6$$
=
-6
$$-6$$
product
-6
$$-6$$
=
-6
$$-6$$
-6
Rapid solution [src]
x1 = -6
$$x_{1} = -6$$
x1 = -6
Numerical answer [src]
x1 = -6.0
x1 = -6.0
The graph
6(4x+3)-9=3(6x-9) equation