What is the answer to 3x+(5x+2)/4 =9-(2x+1)/3 ?

The answer to 3x+(5x+2)/4 =9-(2x+1)/3 is x= 98/59

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3x+(5x+2)/4 =9-(2x+1)/3

3 x + \frac{5 x + 2}{4} = 9 - \frac{2 x + 1}{3}

x = \frac{98}{59}

Decimal Notation

x = 1.66101 \dots

Solution steps

3 x + \frac{5 x + 2}{4} = 9 - \frac{2 x + 1}{3}

Multiply by LCM

36 x + 3 (5 x + 2) = 108 - 4 (2 x + 1)

Expand

3 (5 x + 2) : 15 x + 6

36 x + 15 x + 6 = 108 - 4 (2 x + 1)

Add similar elements:

36 x + 15 x = 51 x

51 x + 6 = 108 - 4 (2 x + 1)

Expand

108 - 4 (2 x + 1) : - 8 x + 104

51 x + 6 = - 8 x + 104

Move

6

to the right side

51 x = - 8 x + 98

Move

8 x

to the left side

59 x = 98

Divide both sides by

59

x = \frac{98}{59}

x^{2} - 13 x y + 36 y^{2}

16 z^{4} y^{6} - 49 x^{8}

15 x - 10

12 a^{2} = 49

30 = 9 x^{2}

What is the answer to 3x+(5x+2)/4 =9-(2x+1)/3 ?
The answer to 3x+(5x+2)/4 =9-(2x+1)/3 is x= 98/59
Solve for x: 3x+(5x+2)/4 =9-(2x+1)/3
The solution is x= 98/59