What is the answer to (x-3)/3+5/4 = x/(12)+(2x+9)/(15) ?

The answer to (x-3)/3+5/4 = x/(12)+(2x+9)/(15) is x=3

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(x-3)/3+5/4 = x/(12)+(2x+9)/(15)

\frac{x - 3}{3} + \frac{5}{4} = \frac{x}{12} + \frac{2 x + 9}{15}

x = 3

Solution steps

\frac{x - 3}{3} + \frac{5}{4} = \frac{x}{12} + \frac{2 x + 9}{15}

Multiply by LCM

20 (x - 3) + 75 = 5 x + 4 (2 x + 9)

Expand

4 (2 x + 9) : 8 x + 36

20 x + 15 = 5 x + 8 x + 36

Add similar elements:

5 x + 8 x = 13 x

20 x + 15 = 13 x + 36

Expand

20 (x - 3) + 75 : 20 x + 15

20 x + 15 = 13 x + 36

Move

15

to the right side

20 x = 13 x + 21

Move

13 x

to the left side

7 x = 21

Divide both sides by

7

x = 3

x, x - y = x + y

2 + 3 = 2 + 3

x, x - 3 y = 10

11 = 2 y + 1

y, 12 x + 15 y = - 45

What is the answer to (x-3)/3+5/4 = x/(12)+(2x+9)/(15) ?
The answer to (x-3)/3+5/4 = x/(12)+(2x+9)/(15) is x=3
Solve for x: (x-3)/3+5/4 = x/(12)+(2x+9)/(15)
The solution is x=3