Answer:
[tex]x = -4[/tex]
Step-by-step explanation:
To solve this equation, we need to apply the distributive property, combine like terms, and get x on one side of the equation.
First, let's apply the distributive property to all parts of the equation:
[tex]0.5(4x-2) - 2(3x+3) = 9+2x + 8[/tex]
[tex]2x - 1 - 6x - 6 = 9 + 2x + 8[/tex]
Combine like terms:
[tex]-4x - 7 = 2x + 17[/tex]
Add 4x to both sides:
[tex]-7 = 6x + 17[/tex]
Add -7 to both sides:
[tex]0 = 6x + 24[/tex]
Subtract 24 from both sides:
[tex]6x = -24[/tex]
Divide both sides by 6:
[tex]x = -4[/tex]
Hope this helped!
