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3(4x+6)-15=3(x-5)

3(4x+6)-15=3(x-5) equation

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Numerical solution:

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The solution

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3*(4*x + 6) - 15 = 3*(x - 5)
$$3 \left(4 x + 6\right) - 15 = 3 \left(x - 5\right)$$
Detail solution
Given the linear equation:
3*(4*x+6)-15 = 3*(x-5)

Expand brackets in the left part
3*4*x+3*6-15 = 3*(x-5)

Expand brackets in the right part
3*4*x+3*6-15 = 3*x-3*5

Looking for similar summands in the left part:
3 + 12*x = 3*x-3*5

Move free summands (without x)
from left part to right part, we given:
$$12 x = 3 x - 18$$
Move the summands with the unknown x
from the right part to the left part:
$$9 x = -18$$
Divide both parts of the equation by 9
x = -18 / (9)

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
3(4x+6)-15=3(x-5) equation