What is (5x+5)/6-1<(19x+1)/3-(8x+1)/4 ?

The solution to (5x+5)/6-1 -1/14

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(5x+5)/6-1<(19x+1)/3-(8x+1)/4

\frac{5 x + 5}{6} - 1 < \frac{19 x + 1}{3} - \frac{8 x + 1}{4}

x > - \frac{1}{14}

Solution steps

\frac{5 x + 5}{6} - 1 < \frac{19 x + 1}{3} - \frac{8 x + 1}{4}

Multiply by LCM

2 (5 x + 5) - 12 < 4 (19 x + 1) - 3 (8 x + 1)

Expand

2 (5 x + 5) - 12 : 10 x - 2

Expand

4 (19 x + 1) - 3 (8 x + 1) : 52 x + 1

10 x - 2 < 52 x + 1

Move

2

to the right side

10 x < 52 x + 3

Move

52 x

to the left side

- 42 x < 3

Multiply both sides by

- 1

42 x > - 3

Divide both sides by

42

x > - \frac{1}{14}

- 2 x^{2} + 4 x

w^{22}

\frac{2 x}{3} = 3 + \frac{x}{2}

- 3 x^{- 4} y^{0}

w^{2} - 100

What is (5x+5)/6-1<(19x+1)/3-(8x+1)/4 ?
The solution to (5x+5)/6-1<(19x+1)/3-(8x+1)/4 is x>-1/14