Question

How manu solutions exist foe the given equation? 1/2 (x+12) =4x-1

Answer 1

There is only one solution x=2.

Answer 2

x = 2

Explanation:

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

Solve the brackets.

`(x)/(2) +6=4x-1`

Take 4x to the left side and take 6 to the right side.

`(x)/(2)-4x=-1-6`

Combine like terms.

`(x)/(2) -(4x)/(1) =-7\\\\(x)/(2) -(8x)/(2) =-7\\\\(-7x)/(2) =(-7)/(1)`

Use cross multiplication.

-7x = -7 × 2

-7x = -14

Divide both sides by -7.

x = 2