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]
