What is the answer to (2x-5)/6-(x+6)/5 =x-(2(15-x))/4 ?

The answer to (2x-5)/6-(x+6)/5 =x-(2(15-x))/4 is x=4

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(2x-5)/6-(x+6)/5 =x-(2(15-x))/4

\frac{2 x - 5}{6} - \frac{x + 6}{5} = x - \frac{2 ( 15 - x )}{4}

x = 4

Solution steps

\frac{2 x - 5}{6} - \frac{x + 6}{5} = x - \frac{2 ( 15 - x )}{4}

Cancel

\frac{2 ( 15 - x )}{4} : \frac{- x + 15}{2}

\frac{2 x - 5}{6} - \frac{x + 6}{5} = x - \frac{15 - x}{2}

Multiply by LCM

5 (2 x - 5) - 6 (x + 6) = 30 x - 15 (- x + 15)

Expand

- 15 (- x + 15) : 15 x - 225

4 x - 61 = 30 x + 15 x - 225

Add similar elements:

30 x + 15 x = 45 x

4 x - 61 = 45 x - 225

Expand

5 (2 x - 5) - 6 (x + 6) : 4 x - 61

4 x - 61 = 45 x - 225

Move

61

to the right side

4 x = 45 x - 164

Move

45 x

to the left side

- 41 x = - 164

Divide both sides by

- 41

x = 4

- (2 n - 8) = - 2

2 x - 1 + 3 x + 2 = 4 x - 5

- 3 x - 16 x + 32 = - 24 x - 3

- 3 (2 m + 1) + 7 = - 5

5 x = - 7 x + 6

What is the answer to (2x-5)/6-(x+6)/5 =x-(2(15-x))/4 ?
The answer to (2x-5)/6-(x+6)/5 =x-(2(15-x))/4 is x=4
Solve for x: (2x-5)/6-(x+6)/5 =x-(2(15-x))/4
The solution is x=4