What is ((4x-4))/3-4/5 <= ((4x+8))/5-4/3 ?

The solution to ((4x-4))/3-4/5 <= ((4x+8))/5-4/3 is x<= 9/2

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((4x-4))/3-4/5 <= ((4x+8))/5-4/3

\frac{( 4 x - 4 )}{3} - \frac{4}{5} \leq \frac{( 4 x + 8 )}{5} - \frac{4}{3}

x \leq \frac{9}{2}

Interval Notation

(- \infty, \frac{9}{2}]

Decimal Notation

x \leq 4.5

Solution steps

\frac{( 4 x - 4 )}{3} - \frac{4}{5} \leq \frac{( 4 x + 8 )}{5} - \frac{4}{3}

\frac{4 x - 4}{3} - \frac{4}{5} \leq \frac{4 x + 8}{5} - \frac{4}{3}

Multiply by LCM

5 (4 x - 4) - 12 \leq 3 (4 x + 8) - 20

Expand

5 (4 x - 4) - 12 : 20 x - 32

Expand

3 (4 x + 8) - 20 : 12 x + 4

20 x - 32 \leq 12 x + 4

Move

32

to the right side

20 x \leq 12 x + 36

Move

12 x

to the left side

8 x \leq 36

Divide both sides by

8

x \leq \frac{9}{2}

\frac{( 2 x + 1 )}{3} \geq \frac{( 3 x - 2 )}{5}

5 x - 1 < 3 x + 9

x, 15 \cdot x + 7.5 \cdot y + 5 \cdot z \leq 315

3 (x + 2) + 7 (x - 4) \geq 3 x - 1

a^{2} (x - 5) > b^{2} (x - 5)

What is ((4x-4))/3-4/5 <= ((4x+8))/5-4/3 ?
The solution to ((4x-4))/3-4/5 <= ((4x+8))/5-4/3 is x<= 9/2