What is the answer to (3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6 ?

The answer to (3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6 is x=-8

Popular >

(3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6

\frac{3 ( x - 3 )}{2} + \frac{2 x}{3} - 2 x = \frac{3 ( 2 x - 1 )}{9} - \frac{1}{6}

x = - 8

Solution steps

\frac{3 ( x - 3 )}{2} + \frac{2 x}{3} - 2 x = \frac{3 ( 2 x - 1 )}{9} - \frac{1}{6}

Cancel

\frac{3 ( 2 x - 1 )}{9} : \frac{2 x - 1}{3}

\frac{3 ( x - 3 )}{2} + \frac{2 x}{3} - 2 x = \frac{2 x - 1}{3} - \frac{1}{6}

Multiply by LCM

9 (x - 3) - 8 x = 2 (2 x - 1) - 1

Expand

9 (x - 3) - 8 x : x - 27

Expand

2 (2 x - 1) - 1 : 4 x - 3

x - 27 = 4 x - 3

Move

27

to the right side

x = 4 x + 24

Move

4 x

to the left side

- 3 x = 24

Divide both sides by

- 3

x = - 8

\frac{21}{2} x - \frac{15}{8} = \frac{23}{4}

3 - \frac{x}{5} - 2 x + \frac{1}{3} = 2 - x + \frac{2}{10}

\frac{2 y - 5}{5} + \frac{3 y + 2}{3} = \frac{5}{6}

y, 5 x - 7 y = 35

(4 x - 5) + (7 x - 5) + (x - 6) + (8 x - 4) = 360

What is the answer to (3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6 ?
The answer to (3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6 is x=-8
Solve for x: (3(x-3))/2+(2x)/3-2x=(3(2x-1))/9-1/6
The solution is x=-8