Question

Solve the following equation:
|2x - 8 = 6
Enter answers in numerical order.

Answer 1

Answer: x=1 x=7

Explanation:

|2x-8|=6

Expanding the module:

`\displaystyle\\\left [ {{2x-8=6} \atop {2x-8=-6}} \right. \ \ \ \ \left [ {{2x-8+8=6+8} \atop {2x-8+8=-6+8}} \right. \ \ \ \ \left [ {{2x=14\ \ \ \ (1)} \atop {2x=2\ \ \ \ (2)}} \right. \\`

Divide both parts of equation (1) by 2,

divide both parts of equation (2) by 2:

`\displaystyle\\\left [ {{x=7} \atop {x=1}} \right.`

Answer 2

hi

2X-8=6

2X = 14

X = 14/2

X=7