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-4x+2(x+1)-(3-x)=7x-3

-4x+2(x+1)-(3-x)=7x-3 equation

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Numerical solution:

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The solution

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-4*x + 2*(x + 1) + -3 + x = 7*x - 3
$$\left(- 4 x + 2 \left(x + 1\right)\right) + \left(x - 3\right) = 7 x - 3$$
Detail solution
Given the linear equation:
-4*x+2*(x+1)-(3-x) = 7*x-3

Expand brackets in the left part
-4*x+2*x+2*1-3+x = 7*x-3

Looking for similar summands in the left part:
-1 - x = 7*x-3

Move free summands (without x)
from left part to right part, we given:
$$- x = 7 x - 2$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-8\right) x = -2$$
Divide both parts of the equation by -8
x = -2 / (-8)

We get the answer: x = 1/4
The graph
Rapid solution [src]
x1 = 1/4
$$x_{1} = \frac{1}{4}$$
x1 = 1/4
Sum and product of roots [src]
sum
1/4
$$\frac{1}{4}$$
=
1/4
$$\frac{1}{4}$$
product
1/4
$$\frac{1}{4}$$
=
1/4
$$\frac{1}{4}$$
1/4
Numerical answer [src]
x1 = 0.25
x1 = 0.25
The graph
-4x+2(x+1)-(3-x)=7x-3 equation