What is the answer to (19x)/(20)-(x-1)/(10)=x ?

The answer to (19x)/(20)-(x-1)/(10)=x is x= 2/3

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(19x)/(20)-(x-1)/(10)=x

\frac{19 x}{20} - \frac{x - 1}{10} = x

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

\frac{19 x}{20} - \frac{x - 1}{10} = x

Multiply by LCM

19 x - 2 (x - 1) = 20 x

Expand

- 2 (x - 1) : - 2 x + 2

19 x - 2 x + 2 = 20 x

Add similar elements:

19 x - 2 x = 17 x

17 x + 2 = 20 x

Move

2

to the right side

17 x = 20 x - 2

Move

20 x

to the left side

- 3 x = - 2

Divide both sides by

- 3

x = \frac{2}{3}

\frac{4}{5} x - \frac{1}{8} \leq \frac{7}{10} x - \frac{8}{5}

\frac{\frac{12}{13}}{\frac{- 5}{13}}

lo g_{\frac{3}{5}} (30) = 40

10 d^{2} + 17 d - 20

(x - 2)^{2} + 5 \geq 0

What is the answer to (19x)/(20)-(x-1)/(10)=x ?
The answer to (19x)/(20)-(x-1)/(10)=x is x= 2/3
Solve for x: (19x)/(20)-(x-1)/(10)=x
The solution is x= 2/3