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

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

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

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

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

Multiply by LCM

8 (2 x - 1) - (x + 13) = 72 x + 15 (x + 1)

Expand

15 (x + 1) : 15 x + 15

15 x - 21 = 72 x + 15 x + 15

Add similar elements:

72 x + 15 x = 87 x

15 x - 21 = 87 x + 15

Expand

8 (2 x - 1) - (x + 13) : 15 x - 21

15 x - 21 = 87 x + 15

Move

21

to the right side

15 x = 87 x + 36

Move

87 x

to the left side

- 72 x = 36

Divide both sides by

- 72

x = - \frac{1}{2}

x, - 2 x + y = 4

x, x + 2 y = 10

x, 2 x - 3 y = 9

x, x + 2 y = 3

x, x - 2 y = 2

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