Q:

Sort the given steps in order to correctly solve the following equation 7(2x-1)-11=6+6x 1. 8x-18=6 2.14x-7-11=6+6x 3.x=3 4.14x-18=6+6x 5.8x=24

Accepted Solution

A:
For this case we have the following equation:[tex]7 (2x-1) -11 = 6 + 6x[/tex]We apply distributive property on the left side of the equation:[tex]14x-7-11 = 6 + 6x[/tex]We add similar terms taking into account that, equal signs are added and the same sign is placed:[tex]14x-18 = 6 + 6x[/tex]we subtract 6x on both sides of the equation:[tex]14x-6x-18 = 6\\8x-18 = 6[/tex]We add 18 to both sides of the equation:[tex]8x = 6 +18\\8x = 24[/tex]We divide by 8 on both sides of the equation:[tex]x = \frac {24} {8}\\x = 3[/tex]Finally, the order of the steps is:[tex]1. 14x-7-11 = 6+6x\\2. 14x-18 = 6+6x\\3. 8x-18 = 6\\4. 8x = 24\\5. x = 3[/tex]ANswer:[tex]1. 14x-7-11 = 6+6x\\2. 14x-18 = 6+6x\\3. 8x-18 = 6\\4. 8x = 24\\5. x = 3[/tex]