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

The answer to (3x)/5-(x-3)/2 =(x+2)/3 is x= 25/7

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

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

x = \frac{25}{7}

Decimal Notation

x = 3.57142 \dots

Solution steps

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

Multiply by LCM

18 x - 15 (x - 3) = 10 (x + 2)

Expand

- 15 (x - 3) : - 15 x + 45

18 x - 15 x + 45 = 10 (x + 2)

Add similar elements:

18 x - 15 x = 3 x

3 x + 45 = 10 (x + 2)

Expand

10 (x + 2) : 10 x + 20

3 x + 45 = 10 x + 20

Move

45

to the right side

3 x = 10 x - 25

Move

10 x

to the left side

- 7 x = - 25

Divide both sides by

- 7

x = \frac{25}{7}

\frac{\frac{7}{6}}{8}

6 x^{2} - 18 x - 60

3 x - 5 \geq 13

9 x^{2} + 18 x = - 11

- 7 x - 1 > - 6 x + 12

What is the answer to (3x)/5-(x-3)/2 =(x+2)/3 ?
The answer to (3x)/5-(x-3)/2 =(x+2)/3 is x= 25/7
Solve for x: (3x)/5-(x-3)/2 =(x+2)/3
The solution is x= 25/7