What is the answer to (2x-3)/4-(3+2x)/9 =2-(x+1)/6 ?

The answer to (2x-3)/4-(3+2x)/9 =2-(x+1)/6 is x= 105/16

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(2x-3)/4-(3+2x)/9 =2-(x+1)/6

\frac{2 x - 3}{4} - \frac{3 + 2 x}{9} = 2 - \frac{x + 1}{6}

x = \frac{105}{16}

Decimal Notation

x = 6.5625

Solution steps

\frac{2 x - 3}{4} - \frac{3 + 2 x}{9} = 2 - \frac{x + 1}{6}

Multiply by LCM

9 (2 x - 3) - 4 (2 x + 3) = 72 - 6 (x + 1)

Expand

9 (2 x - 3) - 4 (2 x + 3) : 10 x - 39

Expand

72 - 6 (x + 1) : - 6 x + 66

10 x - 39 = - 6 x + 66

Move

39

to the right side

10 x = - 6 x + 105

Move

6 x

to the left side

16 x = 105

Divide both sides by

16

x = \frac{105}{16}

x + \frac{5}{3} \leq 2 x + \frac{1}{3} \leq 3 x + \frac{4}{3}

648 a + 1029 a^{2}

54 + x = 180

- 5.2 + 57.9 = 15.9 + 1.8 x

24 a^{5} - 64 a^{2}

What is the answer to (2x-3)/4-(3+2x)/9 =2-(x+1)/6 ?
The answer to (2x-3)/4-(3+2x)/9 =2-(x+1)/6 is x= 105/16
Solve for x: (2x-3)/4-(3+2x)/9 =2-(x+1)/6
The solution is x= 105/16