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

The answer to (5x)/3-(x-2)/4 = 9/3-1/2 (x-(2x-1)/3) is x= 28/19

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

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

x = \frac{28}{19}

Decimal Notation

x = 1.47368 \dots

Solution steps

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

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

Multiply by LCM

20 x - 3 (x - 2) = 36 - 2 (3 x - (2 x - 1))

Expand

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

20 x - 3 x + 6 = 36 - 2 (3 x - (2 x - 1))

Add similar elements:

20 x - 3 x = 17 x

17 x + 6 = 36 - 2 (3 x - (2 x - 1))

Expand

36 - 2 (3 x - (2 x - 1)) : - 2 x + 34

17 x + 6 = - 2 x + 34

Move

6

to the right side

17 x = - 2 x + 28

Move

2 x

to the left side

19 x = 28

Divide both sides by

19

x = \frac{28}{19}

8 (1 + 2 x) + 7 x = - 153

lo g_{4} (64) = 3 x + 2

\frac{5}{6} + \frac{9}{10} c = \frac{1}{2}

\frac{x}{3} = \frac{8}{12}

- 71 = \frac{x}{64}

What is the answer to (5x)/3-(x-2)/4 = 9/3-1/2 (x-(2x-1)/3) ?
The answer to (5x)/3-(x-2)/4 = 9/3-1/2 (x-(2x-1)/3) is x= 28/19
Solve for x: (5x)/3-(x-2)/4 = 9/3-1/2 (x-(2x-1)/3)
The solution is x= 28/19