12x>9(2x-3)-15 solve for x show step by step solution
12x > 9(2x - 3) -15
12x > 92x - 39 - 15
12x > 18x - 27 - 15
12x > 18x - 42
12x - 18x > -42
-6x > - 42 Divide both sides by -6 and the sign changes
x < -42/-6
x < 7
I hope this helps.
Answer:
The value of x is x<7.
Step-by-step explanation:
Consider the provided inequality.
\(12x>9(2x-3)-15\)
Distributive property: \(a(b+c)=ab+ac\)
Apply the distributive property:
\(12x>18x-27-15\)
\(12x>18x-42\)
Add 42 from both side and subtract 12x from both side.
\(12x-12x+42>18x-42-12x+42\)
\(42>6x\)
Divide both side by 6.
\(7>x\)
Hence, the value of x is x<7.