What is the answer to 6x-(2x+3)/5 =(x-5)/4-x ?

The answer to 6x-(2x+3)/5 =(x-5)/4-x is x=-13/127

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6x-(2x+3)/5 =(x-5)/4-x

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

x = - \frac{13}{127}

Decimal Notation

x = - 0.10236 \dots

Solution steps

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

Multiply by LCM

120 x - 4 (2 x + 3) = 5 (x - 5) - 20 x

Expand

- 4 (2 x + 3) : - 8 x - 12

120 x - 8 x - 12 = 5 (x - 5) - 20 x

Add similar elements:

120 x - 8 x = 112 x

112 x - 12 = 5 (x - 5) - 20 x

Expand

5 (x - 5) - 20 x : - 15 x - 25

112 x - 12 = - 15 x - 25

Move

12

to the right side

112 x = - 15 x - 13

Move

15 x

to the left side

127 x = - 13

Divide both sides by

127

x = - \frac{13}{127}

5 x = - 25

\frac{2}{3} x - 12 = x

7 x - 9 - 11 = 3 x + 4 + 2 x

w^{2} = 36

(x - 1) (x + 4) = 0

What is the answer to 6x-(2x+3)/5 =(x-5)/4-x ?
The answer to 6x-(2x+3)/5 =(x-5)/4-x is x=-13/127
Solve for x: 6x-(2x+3)/5 =(x-5)/4-x
The solution is x=-13/127