What is 7(3-2x)+2(2x-15)<2(5x-7)-3(2x-11) ?

The solution to 7(3-2x)+2(2x-15) -2

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7(3-2x)+2(2x-15)<2(5x-7)-3(2x-11)

7 (3 - 2 x) + 2 (2 x - 15) < 2 (5 x - 7) - 3 (2 x - 11)

x > - 2

Interval Notation

(- 2, \infty)

Solution steps

7 (3 - 2 x) + 2 (2 x - 15) < 2 (5 x - 7) - 3 (2 x - 11)

Expand

7 (3 - 2 x) + 2 (2 x - 15) : - 10 x - 9

Expand

2 (5 x - 7) - 3 (2 x - 11) : 4 x + 19

- 10 x - 9 < 4 x + 19

Move

9

to the right side

- 10 x < 4 x + 28

Move

4 x

to the left side

- 14 x < 28

Multiply both sides by

- 1

14 x > - 28

Divide both sides by

14

x > - 2

∣ v + 8 ∣ - 5 = 2

\frac{( 2 x ^{3} y ^{0} ) ^{4}}{x ^{9}}

8 x^{2} - 2 x = 3

10 - 2 (- 2)

\frac{3}{4} x - 7 = - 19

What is 7(3-2x)+2(2x-15)<2(5x-7)-3(2x-11) ?
The solution to 7(3-2x)+2(2x-15)<2(5x-7)-3(2x-11) is x>-2