Answer:
x = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Given
4x - [tex]\frac{1}{2}[/tex] = x + 7
Multiply through by 2 to clear the fraction
8x - 1 = 2x + 14 ( subtract 2x from both sides )
6x - 1 = 14 ( add 1 to both sides )
6x = 15 ( divide both sides by 6 )
x = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]