What is the answer to (3x-1)/3-(2-x)/2 =(x+1)/6-4 ?

The answer to (3x-1)/3-(2-x)/2 =(x+1)/6-4 is x=-15/8

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(3x-1)/3-(2-x)/2 =(x+1)/6-4

\frac{3 x - 1}{3} - \frac{2 - x}{2} = \frac{x + 1}{6} - 4

x = - \frac{15}{8}

Decimal Notation

x = - 1.875

Solution steps

\frac{3 x - 1}{3} - \frac{2 - x}{2} = \frac{x + 1}{6} - 4

Multiply by LCM

2 (3 x - 1) - 3 (- x + 2) = x - 23

Expand

2 (3 x - 1) - 3 (- x + 2) : 9 x - 8

9 x - 8 = x - 23

Move

8

to the right side

9 x = x - 15

Move

x

to the left side

8 x = - 15

Divide both sides by

8

x = - \frac{15}{8}

x, - 4 x + 6 y = 21

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

- 15 - \frac{g}{3} = - 5

\frac{5 x + 7}{2} - \frac{3 x + 9}{4} = \frac{2 x + 5}{3} + 5

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

What is the answer to (3x-1)/3-(2-x)/2 =(x+1)/6-4 ?
The answer to (3x-1)/3-(2-x)/2 =(x+1)/6-4 is x=-15/8
Solve for x: (3x-1)/3-(2-x)/2 =(x+1)/6-4
The solution is x=-15/8