Question

I need to find the two possible values of x

Answer 1

x = 6 or x = -5

Explanation:

Absolute value equal to a positive answer and a negative answer.

2x -1 = 11 or 2x -1 = -11

2x - 1 = 11

2x = 11+1

x = 12/2

x = 6

2x -1 = -11

2x = -11 +1

2x = -10

x = -10/2

x = -5

Answer 2

x = -5

x = 6

Explanation:

To solve an equation containing an absolute value, set the argument of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations.

Case 1 (positive)

`\begin{aligned}2x-1&=11\\\\2x-1+1&=11+1\\\\2x&=12\\\\(2x)/(2)&=(12)/(2)\\\\x&=6\end{aligned}`

Case 2 (negative)

`\begin{aligned}2x-1&=-11\\\\2x-1+1&=-11+1\\\\2x&=-10\\\\(2x)/(2)&=(-10)/(2)\\\\x&=-5\end{aligned}`

Therefore, the two possible values of x are x = -5 and x = 6.