What is 7x-6(3x-5)<5x-3(4x+8) ?

The solution to 7x-6(3x-5) 27/2

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7x-6(3x-5)<5x-3(4x+8)

7 x - 6 (3 x - 5) < 5 x - 3 (4 x + 8)

x > \frac{27}{2}

Interval Notation

(\frac{27}{2}, \infty)

Decimal Notation

x > 13.5

Solution steps

7 x - 6 (3 x - 5) < 5 x - 3 (4 x + 8)

Expand

- 6 (3 x - 5) : - 18 x + 30

7 x - 18 x + 30 < 5 x - 3 (4 x + 8)

Add similar elements:

7 x - 18 x = - 11 x

- 11 x + 30 < 5 x - 3 (4 x + 8)

Expand

- 3 (4 x + 8) : - 12 x - 24

- 11 x + 30 < 5 x - 12 x - 24

Add similar elements:

5 x - 12 x = - 7 x

- 11 x + 30 < - 7 x - 24

Move

30

to the right side

- 11 x < - 7 x - 54

Move

7 x

to the left side

- 4 x < - 54

Multiply both sides by

- 1

4 x > 54

Divide both sides by

4

x > \frac{27}{2}

x^{3} - 11 x^{2} + 23 x + 35

(\frac{7}{3} - \frac{2}{5}) \div \frac{2}{3}

\frac{2}{9} - \frac{8}{9}

7 x - 14 = 21

n^{2} - 8 n - 3 n + 24

What is 7x-6(3x-5)<5x-3(4x+8) ?
The solution to 7x-6(3x-5)<5x-3(4x+8) is x> 27/2