What is the answer to (2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8 ?

The answer to (2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8 is x=-5/8

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(2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8

\frac{2 x - 1}{2} - \frac{x + 13}{24} = 3 x + \frac{5 ( x + 1 )}{8}

x = - \frac{5}{8}

Decimal Notation

x = - 0.625

Solution steps

\frac{2 x - 1}{2} - \frac{x + 13}{24} = 3 x + \frac{5 ( x + 1 )}{8}

Multiply by LCM

12 (2 x - 1) - (x + 13) = 72 x + 15 (x + 1)

Expand

15 (x + 1) : 15 x + 15

23 x - 25 = 72 x + 15 x + 15

Add similar elements:

72 x + 15 x = 87 x

23 x - 25 = 87 x + 15

Expand

12 (2 x - 1) - (x + 13) : 23 x - 25

23 x - 25 = 87 x + 15

Move

25

to the right side

23 x = 87 x + 40

Move

87 x

to the left side

- 64 x = 40

Divide both sides by

- 64

x = - \frac{5}{8}

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

x = 3 x

x, \frac{x + 3 y}{2} = 5

x, 6 x + 9 y = 12

43 m = - m + 53 m + 3

What is the answer to (2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8 ?
The answer to (2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8 is x=-5/8
Solve for x: (2x-1)/2-(x+13}{24}=3x+\frac{5(x+1))/8
The solution is x=-5/8