5x + (x - 8) > 9/2 (2x - 4)
First, distribute 9/2 to terms inside the parentheses:
5x + x - 8 > (9/2)(2x) - (9/2)(4)
Simplify the right side of the equation:
6x - 8 > 9x - 18
Next, subtract 6x from both sides:
-8 > 3x - 18
Add 18 to both sides:
10 > 3x
Finally, divide both sides by 3:
10/3 > x
So the solution is x < 10/3 or x < 3.33 (rounded to two decimal places).
5x + (x - 8) > 9/2 (2x - 4)
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