What is the answer to (x-1)/2-(x-5}{18}=\frac{x+5)/3 ?

The answer to (x-1)/2-(x-5}{18}=\frac{x+5)/3 is x=17

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(x-1)/2-(x-5}{18}=\frac{x+5)/3

\frac{x - 1}{2} - \frac{x - 5}{18} = \frac{x + 5}{3}

x = 17

Solution steps

\frac{x - 1}{2} - \frac{x - 5}{18} = \frac{x + 5}{3}

Multiply by LCM

9 (x - 1) - (x - 5) = 6 (x + 5)

Expand

9 (x - 1) - (x - 5) : 8 x - 4

Expand

6 (x + 5) : 6 x + 30

8 x - 4 = 6 x + 30

Move

4

to the right side

8 x = 6 x + 34

Move

6 x

to the left side

2 x = 34

Divide both sides by

2

x = 17

15 = \frac{2}{3} (4 x + 9)

- 4 (x - 1) + 6 x = 2 (17 - x)

x, 2 x + y = 60

x, x + 3 y = - 4

7 - 3 r = r - 4 (2 + r)

What is the answer to (x-1)/2-(x-5}{18}=\frac{x+5)/3 ?
The answer to (x-1)/2-(x-5}{18}=\frac{x+5)/3 is x=17
Solve for x: (x-1)/2-(x-5}{18}=\frac{x+5)/3
The solution is x=17