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9x−7(x+1)=−2x.

9x−7(x+1)=−2x. equation

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Numerical solution:

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The solution

You have entered [src]
9*x - 7*(x + 1) = -2*x
$$9 x - 7 \left(x + 1\right) = - 2 x$$
Detail solution
Given the linear equation:
9*x-7*(x+1) = -2*x

Expand brackets in the left part
9*x-7*x-7*1 = -2*x

Looking for similar summands in the left part:
-7 + 2*x = -2*x

Move free summands (without x)
from left part to right part, we given:
$$2 x = 7 - 2 x$$
Move the summands with the unknown x
from the right part to the left part:
$$4 x = 7$$
Divide both parts of the equation by 4
x = 7 / (4)

We get the answer: x = 7/4
The graph
Rapid solution [src]
x1 = 7/4
$$x_{1} = \frac{7}{4}$$
x1 = 7/4
Sum and product of roots [src]
sum
7/4
$$\frac{7}{4}$$
=
7/4
$$\frac{7}{4}$$
product
7/4
$$\frac{7}{4}$$
=
7/4
$$\frac{7}{4}$$
7/4
Numerical answer [src]
x1 = 1.75
x1 = 1.75
The graph
9x−7(x+1)=−2x. equation