What is the answer to -22/15 x+1/3 =|-2/3+1/5 | ?

The answer to -22/15 x+1/3 =|-2/3+1/5 | is x=-1/11

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-22/15 x+1/3 =|-2/3+1/5 |

- \frac{22}{15} x + \frac{1}{3} = - \frac{2}{3} + \frac{1}{5}

x = - \frac{1}{11}

Decimal Notation

x = - 0.09090 \dots

Solution steps

- \frac{22}{15} x + \frac{1}{3} = - \frac{2}{3} + \frac{1}{5}

Join

- \frac{2}{3} + \frac{1}{5} : - \frac{7}{15}

- \frac{22}{15} x + \frac{1}{3} = - \frac{7}{15}

Apply absolute rule:

∣ - a ∣ = a

- \frac{22}{15} x + \frac{1}{3} = \frac{7}{15}

Move

\frac{1}{3}

to the right side

- \frac{22}{15} x = \frac{2}{15}

Multiply both sides by

15

- 22 x = 2

Divide both sides by

- 22

x = - \frac{1}{11}

x, \frac{1}{2} x + \frac{1}{3} y = 9

0 = 2 + 8 x

x, (x - 1) \cdot (y + 2) = 11

x, 4 x - 5 y = 9

x, \frac{x}{2} + \frac{y}{4} = 2

What is the answer to -22/15 x+1/3 =|-2/3+1/5 | ?
The answer to -22/15 x+1/3 =|-2/3+1/5 | is x=-1/11
Solve for x: -22/15 x+1/3 =|-2/3+1/5 |
The solution is x=-1/11