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

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

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

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

x = 1

Solution steps

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

\frac{1}{2} (x - \frac{2 x - 1}{3}) = \frac{x - \frac{2 x - 1}{3}}{2}

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

Multiply by LCM

20 x - 3 (x - 2) = 27 - 2 (3 x - (2 x - 1))

Expand

- 3 (x - 2) : - 3 x + 6

20 x - 3 x + 6 = 27 - 2 (3 x - (2 x - 1))

Add similar elements:

20 x - 3 x = 17 x

17 x + 6 = 27 - 2 (3 x - (2 x - 1))

Expand

27 - 2 (3 x - (2 x - 1)) : - 2 x + 25

17 x + 6 = - 2 x + 25

Move

6

to the right side

17 x = - 2 x + 19

Move

2 x

to the left side

19 x = 19

Divide both sides by

19

x = 1

2 \cdot x = 3

\frac{1}{2} = \frac{x}{8}

2 g - 3 = - 19

x, 5 x + 4 y = - 7

\frac{( \frac{1}{2} x - 7 )}{2} = - 3 x + 4

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