What is 5x-3(3x-3+2x)>= 2(3x-20+4x) ?

The solution to 5x-3(3x-3+2x)>= 2(3x-20+4x) is x<= 49/24

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5x-3(3x-3+2x)>= 2(3x-20+4x)

5 x - 3 (3 x - 3 + 2 x) \geq 2 (3 x - 20 + 4 x)

x \leq \frac{49}{24}

Interval Notation

(- \infty, \frac{49}{24}]

Decimal Notation

x \leq 2.04166 \dots

Solution steps

5 x - 3 (3 x - 3 + 2 x) \geq 2 (3 x - 20 + 4 x)

Simplify

3 x - 3 + 2 x : 5 x - 3

5 x - 3 (5 x - 3) \geq 2 (3 x - 20 + 4 x)

Expand

- 3 (5 x - 3) : - 15 x + 9

5 x - 15 x + 9 \geq 2 (3 x - 20 + 4 x)

Add similar elements:

5 x - 15 x = - 10 x

- 10 x + 9 \geq 2 (3 x - 20 + 4 x)

Expand

2 (3 x - 20 + 4 x) : 14 x - 40

- 10 x + 9 \geq 14 x - 40

Move

9

to the right side

- 10 x \geq 14 x - 49

Move

14 x

to the left side

- 24 x \geq - 49

Multiply both sides by

- 1

24 x \leq 49

Divide both sides by

24

x \leq \frac{49}{24}

\frac{100 !}{98 !}

e^{- 0.6}

12 x + 6 = 5 x

6 (\frac{9}{4})

y^{2} + 1 = 2 y + 1

What is 5x-3(3x-3+2x)>= 2(3x-20+4x) ?
The solution to 5x-3(3x-3+2x)>= 2(3x-20+4x) is x<= 49/24