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

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

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

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

x = - \frac{9}{2}

Decimal Notation

x = - 4.5

Solution steps

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

Multiply by LCM

2 (x + 1) - 4 (x - 4) = 27

Expand

2 (x + 1) - 4 (x - 4) : - 2 x + 18

- 2 x + 18 = 27

Move

18

to the right side

- 2 x = 9

Divide both sides by

- 2

x = - \frac{9}{2}

- 71 > 34 w - 97 - 32 w \geq - 97

2 x^{2} - 5 = 2 x

n (n - 4) + n (n + 8) = n (n - 13) + n (n + 1) + 16

\frac{( 2 x + 1 )}{x - 1} > 1

\frac{35}{28} = \frac{n}{12}

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