To solve this inequality, we need to simplify it first.
3x + 5/7 + 10 - 3x/5 > 2x + 7/3
First, let's simplify the terms:
(3x - 3x/5) + (5/7 + 10) > 2x + 7/3
Now, simplify further:
(15x/5 - 3x/5) + (35/7 + 70/7) > 6x + 21/3
(12x/5) + (105/7) > 6x + 7
(12x/5) + (15x) > 6x + 7
(12x + 75x)/5 > 6x + 7
87x/5 > 6x + 7
Multiply through by 5 to clear the denominator:
87x > 30x + 35
Subtract 30x from both sides:
57x > 35
Divide by 57 to isolate x:
x > 35/57
Therefore, the solution to the inequality is x > 35/57.
To solve this inequality, we need to simplify it first.
3x + 5/7 + 10 - 3x/5 > 2x + 7/3
First, let's simplify the terms:
(3x - 3x/5) + (5/7 + 10) > 2x + 7/3
Now, simplify further:
(15x/5 - 3x/5) + (35/7 + 70/7) > 6x + 21/3
(12x/5) + (105/7) > 6x + 7
(12x/5) + (15x) > 6x + 7
(12x + 75x)/5 > 6x + 7
87x/5 > 6x + 7
Multiply through by 5 to clear the denominator:
87x > 30x + 35
Subtract 30x from both sides:
57x > 35
Divide by 57 to isolate x:
x > 35/57
Therefore, the solution to the inequality is x > 35/57.