What is -3s+4(-6s-2)<6s+7+6s ?

The solution to -3s+4(-6s-2) -5/13

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-3s+4(-6s-2)<6s+7+6s

- 3 s + 4 (- 6 s - 2) < 6 s + 7 + 6 s

s > - \frac{5}{13}

Interval Notation

(- \frac{5}{13}, \infty)

Decimal Notation

s > - 0.38461 \dots

Solution steps

- 3 s + 4 (- 6 s - 2) < 6 s + 7 + 6 s

Group like terms

- 3 s + 4 (- 6 s - 2) < 6 s + 6 s + 7

Add similar elements:

6 s + 6 s = 12 s

- 3 s + 4 (- 6 s - 2) < 12 s + 7

Expand

4 (- 6 s - 2) : - 24 s - 8

- 3 s - 24 s - 8 < 12 s + 7

Add similar elements:

- 3 s - 24 s = - 27 s

- 27 s - 8 < 12 s + 7

Move

8

to the right side

- 27 s < 12 s + 15

Move

12 s

to the left side

- 39 s < 15

Multiply both sides by

- 1

39 s > - 15

Divide both sides by

39

s > - \frac{5}{13}

5 y = 20

4 x^{2} - 8 x + 3

\frac{m}{3} + \frac{2 m}{3}

96

\frac{m}{\frac{1}{3} + \frac{18}{m}}