What is the answer to (2-3x)/3-x/2 = 2/4-(x-5)/6 ?

The answer to (2-3x)/3-x/2 = 2/4-(x-5)/6 is x=-1/2

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(2-3x)/3-x/2 = 2/4-(x-5)/6

\frac{2 - 3 x}{3} - \frac{x}{2} = \frac{2}{4} - \frac{x - 5}{6}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{2 - 3 x}{3} - \frac{x}{2} = \frac{2}{4} - \frac{x - 5}{6}

Cancel

\frac{2}{4} : \frac{1}{2}

\frac{2 - 3 x}{3} - \frac{x}{2} = \frac{1}{2} - \frac{x - 5}{6}

Multiply by LCM

2 (- 3 x + 2) - 3 x = 3 - (x - 5)

Expand

2 (- 3 x + 2) - 3 x : - 9 x + 4

Expand

3 - (x - 5) : - x + 8

- 9 x + 4 = - x + 8

Move

4

to the right side

- 9 x = - x + 4

Move

x

to the left side

- 8 x = 4

Divide both sides by

- 8

x = - \frac{1}{2}

3 x + (- x + 1) - (x - 5) = 8 - (2 x - 6 + x)

3 x - 4 = 2 x + 8

- 13 y - 6 y - 9 = - 20 y + 5

(3 x - 2) + (6 x - 6) + (2 x - 2) + (x - 2) = 360

x, 3 x + 9 y - 12 = 0

What is the answer to (2-3x)/3-x/2 = 2/4-(x-5)/6 ?
The answer to (2-3x)/3-x/2 = 2/4-(x-5)/6 is x=-1/2
Solve for x: (2-3x)/3-x/2 = 2/4-(x-5)/6
The solution is x=-1/2