Answer:
One solution x = 2
Step-by-step explanation:
Given the equation:
[tex]\dfrac{1}{2}(x+12)=4x-1[/tex]
Multiply this equation by 2:
[tex]2\cdot \dfrac{1}{2}(x+12)=2\cdot (4x-1)\\ \\x+12=2(4x-1)[/tex]
Use distributive property:
[tex]x+12=8x-2[/tex]
Combine the like terms:
[tex]x+12=8x-2\\ \\x+12-12=8x-2-12\\ \\x=8x-14\\ \\x-8x=8x-14-8x\\ \\-7x=-14\\ \\7x=14\\ \\x=2[/tex]
Thus, this equation has one solution x = 2
