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7x-5(x+1)=-2x

7x-5(x+1)=-2x equation

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Numerical solution:

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The solution

You have entered [src]
7*x - 5*(x + 1) = -2*x
$$7 x - 5 \left(x + 1\right) = - 2 x$$
Detail solution
Given the linear equation:
7*x-5*(x+1) = -2*x

Expand brackets in the left part
7*x-5*x-5*1 = -2*x

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

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

We get the answer: x = 5/4
The graph
Rapid solution [src]
x1 = 5/4
$$x_{1} = \frac{5}{4}$$
x1 = 5/4
Sum and product of roots [src]
sum
5/4
$$\frac{5}{4}$$
=
5/4
$$\frac{5}{4}$$
product
5/4
$$\frac{5}{4}$$
=
5/4
$$\frac{5}{4}$$
5/4
Numerical answer [src]
x1 = 1.25
x1 = 1.25
The graph
7x-5(x+1)=-2x equation