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10x-9=6(7x+3)-5x

10x-9=6(7x+3)-5x equation

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Numerical solution:

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The solution

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10*x - 9 = 6*(7*x + 3) - 5*x
$$10 x - 9 = - 5 x + 6 \left(7 x + 3\right)$$
Detail solution
Given the linear equation:
10*x-9 = 6*(7*x+3)-5*x

Expand brackets in the right part
10*x-9 = 6*7*x+6*3-5*x

Looking for similar summands in the right part:
-9 + 10*x = 18 + 37*x

Move free summands (without x)
from left part to right part, we given:
$$10 x = 37 x + 27$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-27\right) x = 27$$
Divide both parts of the equation by -27
x = 27 / (-27)

We get the answer: x = -1
The graph
Sum and product of roots [src]
sum
-1
$$-1$$
=
-1
$$-1$$
product
-1
$$-1$$
=
-1
$$-1$$
-1
Rapid solution [src]
x1 = -1
$$x_{1} = -1$$
x1 = -1
Numerical answer [src]
x1 = -1.0
x1 = -1.0
The graph
10x-9=6(7x+3)-5x equation