Answer:
The value of x = 2
Step-by-step explanation:
Given the equation
[tex]12\left(x-2\right)+3x=\frac{1}{2}\left(x+6\right)+2[/tex]
so the equation becomes
[tex]12x-24+3x=\frac{1}{2}x+3+2[/tex]
simplifying
[tex]15x-24=\frac{1}{2}x+5[/tex]
[tex]15x=\frac{1}{2}x+29[/tex]
multiplying both sides by 2
[tex]30x = x + 58[/tex]
subtracting x from both sides
[tex]30x - x = 58 - x[/tex]
[tex]29x = 58[/tex]
divide both sides by 29
[tex]\frac{29x}{29}=\frac{58}{29}[/tex]
simplifying
[tex]x = 2[/tex]
Therefore, the value of x = 2
