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9x-6(x-1)=5(x+2)

9x-6(x-1)=5(x+2) equation

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Numerical solution:

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The solution

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9*x - 6*(x - 1) = 5*(x + 2)
$$9 x - 6 \left(x - 1\right) = 5 \left(x + 2\right)$$
Detail solution
Given the linear equation:
9*x-6*(x-1) = 5*(x+2)

Expand brackets in the left part
9*x-6*x+6*1 = 5*(x+2)

Expand brackets in the right part
9*x-6*x+6*1 = 5*x+5*2

Looking for similar summands in the left part:
6 + 3*x = 5*x+5*2

Move free summands (without x)
from left part to right part, we given:
$$3 x = 5 x + 4$$
Move the summands with the unknown x
from the right part to the left part:
$$- 2 x = 4$$
Divide both parts of the equation by -2
x = 4 / (-2)

We get the answer: x = -2
The graph
Rapid solution [src]
x_1 = -2
$$x_{1} = -2$$
Sum and product of roots [src]
sum
-2
$$\left(-2\right)$$
=
-2
$$-2$$
product
-2
$$\left(-2\right)$$
=
-2
$$-2$$
Numerical answer [src]
x1 = -2.0
x1 = -2.0
The graph
9x-6(x-1)=5(x+2) equation