What is the answer to (-2x+8)/(15)=x-(-x+3)/(10) ?

The answer to (-2x+8)/(15)=x-(-x+3)/(10) is x= 25/37

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(-2x+8)/(15)=x-(-x+3)/(10)

\frac{- 2 x + 8}{15} = x - \frac{- x + 3}{10}

x = \frac{25}{37}

Decimal Notation

x = 0.67567 \dots

Solution steps

\frac{- 2 x + 8}{15} = x - \frac{- x + 3}{10}

Multiply by LCM

2 (- 2 x + 8) = 30 x - 3 (- x + 3)

Expand

- 3 (- x + 3) : 3 x - 9

- 4 x + 16 = 30 x + 3 x - 9

Add similar elements:

30 x + 3 x = 33 x

- 4 x + 16 = 33 x - 9

Expand

2 (- 2 x + 8) : - 4 x + 16

- 4 x + 16 = 33 x - 9

Move

16

to the right side

- 4 x = 33 x - 25

Move

33 x

to the left side

- 37 x = - 25

Divide both sides by

- 37

x = \frac{25}{37}

1 = - 4 (\frac{- 6 d + 5}{- 13}) + 5

5 + 30 = x + 10

x + \frac{1}{20} x = 1200

0 = - x

3 x + 8 = 5

What is the answer to (-2x+8)/(15)=x-(-x+3)/(10) ?
The answer to (-2x+8)/(15)=x-(-x+3)/(10) is x= 25/37
Solve for x: (-2x+8)/(15)=x-(-x+3)/(10)
The solution is x= 25/37