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

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

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

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

Expand

5 x - 3 (3 x - (3 - 2 x)) : - 10 x + 9

Expand

2 (3 x - 4 (5 - 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{1}{8} + \frac{1}{9}

x^{3} + 9 x^{2} + 16 x - 6

64 y^{3} + 1

\frac{1}{12} + \frac{1}{6}

4 x^{5} - 100 x^{3}

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