How many solutions exist for the given equation?1/2 (x 12) = 4x - 1 zero one two infinitely many

There's 1 solution.

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=2

Step-by-step explanation:

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

Step 1: Simplify both sides of the equation.

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

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

1/2x+6=4x+-1

1/2x+6=4x-1

Step 2: Subtract 4x from both sides.

1/2x+6-4x=4x-1-4x

-7/2x+6=-1

Step 3: Subtract 6 from both sides.

-7/2x+6-6=-1-6

-7/2x=-7

Step 4: Multiply both sides by 2 / (-7).

(2/-7) * (-7/2x) = (2/-7) * (-7)

x=2