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5x-(7-x)+ax=-7 equation

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Numerical solution:

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The solution

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

Expand brackets in the left part
5*x-7+x+a*x = -7

Looking for similar summands in the left part:
-7 + 6*x + a*x = -7

Move free summands (without x)
from left part to right part, we given:
$$a x + 6 x = 0$$
Divide both parts of the equation by (6*x + a*x)/x
x = 0 / ((6*x + a*x)/x)

We get the answer: x = 0
The graph
Sum and product of roots [src]
sum
0
$$0$$
=
0
$$0$$
product
0
$$0$$
=
0
$$0$$
0
Rapid solution [src]
x1 = 0
$$x_{1} = 0$$
x1 = 0