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

The answer to x/3 =(5x-9)/4-(x-1)/2 is x= 21/5

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

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

x = \frac{21}{5}

Decimal Notation

x = 4.2

Solution steps

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

Multiply by LCM

4 x = 3 (5 x - 9) - 6 (x - 1)

Expand

3 (5 x - 9) - 6 (x - 1) : 9 x - 21

4 x = 9 x - 21

Move

9 x

to the left side

- 5 x = - 21

Divide both sides by

- 5

x = \frac{21}{5}

2 k^{2} + k - 10

4^{- 6}

9 - 4 (2 p - 1) = 41

x^{2} + 8 x + 65 = 0

10 x = 3 (x - 21)

What is the answer to x/3 =(5x-9)/4-(x-1)/2 ?
The answer to x/3 =(5x-9)/4-(x-1)/2 is x= 21/5
Solve for x: x/3 =(5x-9)/4-(x-1)/2
The solution is x= 21/5