What is the answer to (2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6 ?

The answer to (2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6 is x=-1/13

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(2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6

\frac{2 x + 1}{3} - \frac{1 - 3 x}{2} = \frac{x + 1}{4} + \frac{5 x - 3}{6}

x = - \frac{1}{13}

Decimal Notation

x = - 0.07692 \dots

Solution steps

\frac{2 x + 1}{3} - \frac{1 - 3 x}{2} = \frac{x + 1}{4} + \frac{5 x - 3}{6}

Multiply by LCM

4 (2 x + 1) - 6 (- 3 x + 1) = 3 (x + 1) + 2 (5 x - 3)

Expand

4 (2 x + 1) - 6 (- 3 x + 1) : 26 x - 2

Expand

3 (x + 1) + 2 (5 x - 3) : 13 x - 3

26 x - 2 = 13 x - 3

Move

2

to the right side

26 x = 13 x - 1

Move

13 x

to the left side

13 x = - 1

Divide both sides by

13

x = - \frac{1}{13}

6 = a 3

m, 3 m - 5 n = 11

x, - 9 x + 12 y = 15

45 = 9 m

x, \frac{x}{2} + y = 35

What is the answer to (2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6 ?
The answer to (2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6 is x=-1/13
Solve for x: (2x+1)/3-(1-3x)/2 =(x+1)/4+(5x-3)/6
The solution is x=-1/13