What is the answer to 3-x/5-2x+1/3 =2-x+2/10 ?

The answer to 3-x/5-2x+1/3 =2-x+2/10 is x= 17/18

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3-x/5-2x+1/3 =2-x+2/10

3 - \frac{x}{5} - 2 x + \frac{1}{3} = 2 - x + \frac{2}{10}

x = \frac{17}{18}

Decimal Notation

x = 0.94444 \dots

Solution steps

3 - \frac{x}{5} - 2 x + \frac{1}{3} = 2 - x + \frac{2}{10}

Combine the fractions

3 + \frac{1}{3} : \frac{10}{3}

- 2 x + \frac{10}{3} - \frac{x}{5} = 2 - x + \frac{2}{10}

Cancel

\frac{2}{10} : \frac{1}{5}

- 2 x + \frac{10}{3} - \frac{x}{5} = 2 - x + \frac{1}{5}

Combine the fractions

2 + \frac{1}{5} : \frac{11}{5}

- 2 x + \frac{10}{3} - \frac{x}{5} = - x + \frac{11}{5}

Move

\frac{10}{3}

to the right side

- 2 x - \frac{x}{5} = - x - \frac{17}{15}

Multiply both sides by

5

- 11 x = - 5 x - \frac{17}{3}

Move

5 x

to the left side

- 6 x = - \frac{17}{3}

Divide both sides by

- 6

x = \frac{17}{18}

\frac{2 y - 5}{5} + \frac{3 y + 2}{3} = \frac{5}{6}

y, 5 x - 7 y = 35

(4 x - 5) + (7 x - 5) + (x - 6) + (8 x - 4) = 360

x, 3 x + 4 y = 2 x

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

What is the answer to 3-x/5-2x+1/3 =2-x+2/10 ?
The answer to 3-x/5-2x+1/3 =2-x+2/10 is x= 17/18
Solve for x: 3-x/5-2x+1/3 =2-x+2/10
The solution is x= 17/18