How many solutions exist for the given equation
1/2 (x+12)=4x-1

x=2

Step-by-step explanation:

1/2 (x+12)=4x-1

Multiply each side by 2

2*1/2 (x+12)=2*(4x-1)

x+12 = 8x -2

x+12 = 8x - 2

Subtract x from each side

12 = 7x -2

Add 2 to each side

14 =7x

Divide by 7

14/7 = 7x/7

2 =x

Steps to solve:

1/2(x + 12) = 4x - 1

~Distribute

1/2x + 6 = 4x - 1

~Subtract 6 to both sides

1/2x = 4x - 7

~Subtract 4x to both sides

-7/2x = -7

~Multiply -2/7 to both sides

x = 2

Best of Luck!

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.