Question

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

Answer 1

There's 1 solution.

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

x=2

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