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

The answer to (5x)/3-(x-2)/4 = 1/2 (x-2x-1) is x=-12/23

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

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

x = - \frac{12}{23}

Decimal Notation

x = - 0.52173 \dots

Solution steps

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

Multiply by LCM

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

Expand

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

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

Add similar elements:

20 x - 3 x = 17 x

17 x + 6 = 6 (- x - 1)

Expand

6 (- x - 1) : - 6 x - 6

17 x + 6 = - 6 x - 6

Move

6

to the right side

17 x = - 6 x - 12

Move

6 x

to the left side

23 x = - 12

Divide both sides by

23

x = - \frac{12}{23}

x, x + 2 y = 100

5 x - 3 = 2 (1 - x)

3 x + 12 + 5 = 35

\frac{y}{18} + \frac{4}{3} = 10

\frac{7}{20} x + \frac{3}{28} = \frac{4}{35}

What is the answer to (5x)/3-(x-2)/4 = 1/2 (x-2x-1) ?
The answer to (5x)/3-(x-2)/4 = 1/2 (x-2x-1) is x=-12/23
Solve for x: (5x)/3-(x-2)/4 = 1/2 (x-2x-1)
The solution is x=-12/23