What is the answer to x-(x+1)/5 =(x+3)/2-2 ?

The answer to x-(x+1)/5 =(x+3)/2-2 is x=-1

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x-(x+1)/5 =(x+3)/2-2

x - \frac{x + 1}{5} = \frac{x + 3}{2} - 2

x = - 1

Solution steps

x - \frac{x + 1}{5} = \frac{x + 3}{2} - 2

Multiply by LCM

10 x - 2 (x + 1) = 5 (x + 3) - 20

Expand

- 2 (x + 1) : - 2 x - 2

10 x - 2 x - 2 = 5 (x + 3) - 20

Add similar elements:

10 x - 2 x = 8 x

8 x - 2 = 5 (x + 3) - 20

Expand

5 (x + 3) - 20 : 5 x - 5

8 x - 2 = 5 x - 5

Move

2

to the right side

8 x = 5 x - 3

Move

5 x

to the left side

3 x = - 3

Divide both sides by

3

x = - 1

- 2 x + 7 < 3

3 x - x^{2} > 2

- 13 x^{2} + 7.68 x + 0.4608 = 0

- 16 - - 9

3 x^{2} - 2 > 0

What is the answer to x-(x+1)/5 =(x+3)/2-2 ?
The answer to x-(x+1)/5 =(x+3)/2-2 is x=-1
Solve for x: x-(x+1)/5 =(x+3)/2-2
The solution is x=-1