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4(6x+11)-14=2(2x-5)

4(6x+11)-14=2(2x-5) equation

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Numerical solution:

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The solution

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4*(6*x + 11) - 14 = 2*(2*x - 5)
$$4 \left(6 x + 11\right) - 14 = 2 \left(2 x - 5\right)$$
Detail solution
Given the linear equation:
4*(6*x+11)-14 = 2*(2*x-5)

Expand brackets in the left part
4*6*x+4*11-14 = 2*(2*x-5)

Expand brackets in the right part
4*6*x+4*11-14 = 2*2*x-2*5

Looking for similar summands in the left part:
30 + 24*x = 2*2*x-2*5

Move free summands (without x)
from left part to right part, we given:
$$24 x = 4 x - 40$$
Move the summands with the unknown x
from the right part to the left part:
$$20 x = -40$$
Divide both parts of the equation by 20
x = -40 / (20)

We get the answer: x = -2
The graph
Sum and product of roots [src]
sum
-2
$$-2$$
=
-2
$$-2$$
product
-2
$$-2$$
=
-2
$$-2$$
-2
Rapid solution [src]
x1 = -2
$$x_{1} = -2$$
x1 = -2
Numerical answer [src]
x1 = -2.0
x1 = -2.0
The graph
4(6x+11)-14=2(2x-5) equation