Answer: The answer is x=7.
Step-by-step explanation: Now let's solve your equation step-by-step:
[tex]\frac{1}{2}x+\frac{6}{3}=x-\frac{3}{2}[/tex].
Step 1. Simplify the both sides of the equation: [tex]\frac{1}{2}x+2=x+\frac{-3}{2}[/tex].
Step 2. Subtract x from the both sides: [tex]\frac{1}{2}x+2-x=x+\frac{-3}{2}-x[/tex] to
[tex]\frac{-1}{2}x+2=\frac{-3}{2}[/tex].
Step 3. Subtract 2 from the both sides: [tex]\frac{-1}{2}x+2-2=\frac{-3}{2}-2[/tex] to
[tex]\frac{-1}{2}x=\frac{-7}{2}[/tex].
Last but not least is step 4. Multiply the both sides by 2/(-1):
[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{-7}{2})[/tex] to [tex]x=7.[/tex] I hope your answer is very helpful, please mark me as brainliest, and have a happy holidays! :D
