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!

if you was gonna solve for a, a is a   < -12

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: