Answer:
x = 2
Step-by-step explanation:
[tex]\frac{1}{2} (x+12)=4x-1[/tex]
Solve the brackets.
[tex]\frac{x}{2} +6=4x-1[/tex]
Take 4x to the left side and take 6 to the right side.
[tex]\frac{x}{2}-4x=-1-6[/tex]
Combine like terms.
[tex]\frac{x}{2} -\frac{4x}{1} =-7\\\\\frac{x}{2} -\frac{8x}{2} =-7\\\\\frac{-7x}{2} =\frac{-7}{1}[/tex]
Use cross multiplication.
-7x = -7 × 2
-7x = -14
Divide both sides by -7.
x = 2
