Question

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

Answer 1

For this case we have the following equation:

`7 (2x-1) -11 = 6 + 6x`

We apply distributive property on the left side of the equation:

`14x-7-11 = 6 + 6x`

We add similar terms taking into account that, equal signs are added and the same sign is placed:

`14x-18 = 6 + 6x`

we subtract 6x on both sides of the equation:

`14x-6x-18 = 6\\8x-18 = 6`

We add 18 to both sides of the equation:

`8x = 6 +18\\8x = 24`

We divide by 8 on both sides of the equation:

`x = \frac {24} {8}\\x = 3`

Finally, the order of the steps is:

`1. 14x-7-11 = 6+6x\\2. 14x-18 = 6+6x\\3. 8x-18 = 6\\4. 8x = 24\\5. x = 3`

ANswer:

`1. 14x-7-11 = 6+6x\\2. 14x-18 = 6+6x\\3. 8x-18 = 6\\4. 8x = 24\\5. x = 3`