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

The answer to 2x+(x+1)/5 =x-(2x-3)/3 is x= 3/7

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

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

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

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

Multiply by LCM

30 x + 3 (x + 1) = 15 x - 5 (2 x - 3)

Expand

3 (x + 1) : 3 x + 3

30 x + 3 x + 3 = 15 x - 5 (2 x - 3)

Add similar elements:

30 x + 3 x = 33 x

33 x + 3 = 15 x - 5 (2 x - 3)

Expand

- 5 (2 x - 3) : - 10 x + 15

33 x + 3 = 15 x - 10 x + 15

Add similar elements:

15 x - 10 x = 5 x

33 x + 3 = 5 x + 15

Move

3

to the right side

33 x = 5 x + 12

Move

5 x

to the left side

28 x = 12

Divide both sides by

28

x = \frac{3}{7}

x, y - 3 = 1 (x - 2)

2 (x + 1) = x + 2

223 = (6690) r

x, 3 x = 6 y + 2

5 x - 1 - 1.5 x = 6 + 3.5 x

What is the answer to 2x+(x+1)/5 =x-(2x-3)/3 ?
The answer to 2x+(x+1)/5 =x-(2x-3)/3 is x= 3/7
Solve for x: 2x+(x+1)/5 =x-(2x-3)/3
The solution is x= 3/7