What is the answer to (5x+3)/2-(x-2)/3 =6 ?

The answer to (5x+3)/2-(x-2)/3 =6 is x= 23/13

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(5x+3)/2-(x-2)/3 =6

\frac{5 x + 3}{2} - \frac{x - 2}{3} = 6

x = \frac{23}{13}

Decimal Notation

x = 1.76923 \dots

Solution steps

\frac{5 x + 3}{2} - \frac{x - 2}{3} = 6

Multiply by LCM

3 (5 x + 3) - 2 (x - 2) = 36

Expand

3 (5 x + 3) - 2 (x - 2) : 13 x + 13

13 x + 13 = 36

Move

13

to the right side

13 x = 23

Divide both sides by

13

x = \frac{23}{13}

- 5 (x - 2) = - 20

20 + 4 r = 32 - 2 r

4 (w + 1) - w = 3 (w - 1) + 3

- 31 = 5 z + 14

2 x + 5 = x + 1

What is the answer to (5x+3)/2-(x-2)/3 =6 ?
The answer to (5x+3)/2-(x-2)/3 =6 is x= 23/13
Solve for x: (5x+3)/2-(x-2)/3 =6
The solution is x= 23/13