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

The answer to (2x)/3-(3x+1)/4 =(3x+5)/2 is x=-33/19

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

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

x = - \frac{33}{19}

Decimal Notation

x = - 1.73684 \dots

Solution steps

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

Multiply by LCM

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

Expand

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

8 x - 9 x - 3 = 6 (3 x + 5)

Add similar elements:

8 x - 9 x = - x

- x - 3 = 6 (3 x + 5)

Expand

6 (3 x + 5) : 18 x + 30

- x - 3 = 18 x + 30

Move

3

to the right side

- x = 18 x + 33

Move

18 x

to the left side

- 19 x = 33

Divide both sides by

- 19

x = - \frac{33}{19}

- 7 c - 12 = 3 c + 8

543 + 762 + h = 2653

7 - \frac{x}{4} = x - 6

\frac{7}{12} y + 22 = 71

x, 5 - y = - 3 x

What is the answer to (2x)/3-(3x+1)/4 =(3x+5)/2 ?
The answer to (2x)/3-(3x+1)/4 =(3x+5)/2 is x=-33/19
Solve for x: (2x)/3-(3x+1)/4 =(3x+5)/2
The solution is x=-33/19