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4x+6x+10=7x-14-5x equation

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Numerical solution:

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The solution

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4*x + 6*x + 10 = 7*x - 14 - 5*x
$$\left(4 x + 6 x\right) + 10 = - 5 x + \left(7 x - 14\right)$$
Detail solution
Given the linear equation:
4*x+6*x+10 = 7*x-14-5*x

Looking for similar summands in the left part:
10 + 10*x = 7*x-14-5*x

Looking for similar summands in the right part:
10 + 10*x = -14 + 2*x

Move free summands (without x)
from left part to right part, we given:
$$10 x = 2 x - 24$$
Move the summands with the unknown x
from the right part to the left part:
$$8 x = -24$$
Divide both parts of the equation by 8
x = -24 / (8)

We get the answer: x = -3
The graph
Rapid solution [src]
x1 = -3
$$x_{1} = -3$$
x1 = -3
Sum and product of roots [src]
sum
-3
$$-3$$
=
-3
$$-3$$
product
-3
$$-3$$
=
-3
$$-3$$
-3
Numerical answer [src]
x1 = -3.0
x1 = -3.0