What is x+2/3-1/2 (x+3/5)> 1/5 (x-1/3) ?

The solution to x+2/3-1/2 (x+3/5)> 1/5 (x-1/3) is x>-13/9

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x+2/3-1/2 (x+3/5)> 1/5 (x-1/3)

x + \frac{2}{3} - \frac{1}{2} (x + \frac{3}{5}) > \frac{1}{5} (x - \frac{1}{3})

x > - \frac{13}{9}

Solution steps

x + \frac{2}{3} - \frac{1}{2} (x + \frac{3}{5}) > \frac{1}{5} (x - \frac{1}{3})

Expand

x + \frac{2}{3} - \frac{1}{2} (x + \frac{3}{5}) : \frac{x}{2} + \frac{2}{3} - \frac{3}{10}

Expand

\frac{1}{5} (x - \frac{1}{3}) : \frac{1}{5} x - \frac{1}{15}

\frac{x}{2} + \frac{2}{3} - \frac{3}{10} > \frac{1}{5} x - \frac{1}{15}

Move

\frac{2}{3}

to the right side

\frac{x}{2} - \frac{3}{10} > - \frac{11}{15} + \frac{1}{5} x

Move

\frac{3}{10}

to the right side

\frac{x}{2} > - \frac{13}{30} + \frac{1}{5} x

Move

\frac{1}{5} x

to the left side

\frac{3 x}{10} > - \frac{13}{30}

Multiply both sides by

10

3 x > - \frac{13}{3}

Divide both sides by

3

x > - \frac{13}{9}

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

3 x^{2} - 20 x - 63

7 - 1.5 a + (0.5 a - 5.5) = 2 a + 0.75 - (0.5 + 0.5 a)

4 (2 x - 3) + 2 (x - 4) = 10

(x + 4) (x - 7) = 0

What is x+2/3-1/2 (x+3/5)> 1/5 (x-1/3) ?
The solution to x+2/3-1/2 (x+3/5)> 1/5 (x-1/3) is x>-13/9