What is 1/4 (x-3)-2(3x-5)>3(5-2a) ?

The solution to 1/4 (x-3)-2(3x-5)>3(5-2a) is x<(24a-23)/(23)

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1/4 (x-3)-2(3x-5)>3(5-2a)

\frac{1}{4} (x - 3) - 2 (3 x - 5) > 3 (5 - 2 a)

x < \frac{24 a - 23}{23}

Solution steps

\frac{1}{4} (x - 3) - 2 (3 x - 5) > 3 (5 - 2 a)

Multiply both sides by

4

x - 3 - 8 (3 x - 5) > 12 (5 - 2 a)

Expand

x - 3 - 8 (3 x - 5) : - 23 x + 37

Expand

12 (5 - 2 a) : 60 - 24 a

- 23 x + 37 > 60 - 24 a

Move

37

to the right side

- 23 x > - 24 a + 23

Multiply both sides by

- 1

23 x < 24 a - 23

Divide both sides by

23

x < \frac{24 a - 23}{23}

x, x - 5 y > 4

2 x + x - 3 > 6 x + 9

a, 2 a \leq b + 1

2 x + 3 > 2 x + 6

6 x - 52 > 3 x - 25

What is 1/4 (x-3)-2(3x-5)>3(5-2a) ?
The solution to 1/4 (x-3)-2(3x-5)>3(5-2a) is x<(24a-23)/(23)