Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Analyzing the statement one after the other:
Half a number x: [tex]\frac{1}{2}x[/tex]
Equals to: [tex]=[/tex]
9 less than twice that same number: [tex]2x - 9[/tex]
Bring them together, we have:
[tex]\frac{1}{2}x = 2x-9[/tex]
Collect Like Terms
[tex]\frac{1}{2}x - 2x= -9[/tex]
[tex]\frac{x}{2} - 2x= -9[/tex]
[tex]\frac{x - 4x}{2} = -9[/tex]
[tex]\frac{ - 3x}{2} = -9[/tex]
Multiply through by 2
[tex]2 * \frac{ - 3x}{2} = -9 * 2[/tex]
[tex]- 3x = -18[/tex]
Divide through by -3
[tex]x = 6[/tex]
