Respuesta :
Given equation: [tex]\frac{1}{2} (x+12)= 4x-1[/tex]
Multiply both sides by 2.
[tex]\frac{2}{2} (x+12) = 2(4x-1)[/tex]
Distribute 2 to the right side.
=> [tex]x+12 = 8x-2[/tex]
Add 2 on both sides .
[tex]x+12+2 = 8x-2+2[/tex]
Subtract x on both sides.
[tex]x-x+14 = 8x-x[/tex]
[tex]14 = 7x <=> 7x = 14[/tex]
Divide both sides by 7
x=2.
Hence, there is one solution to this linear equation.