Question

Sort the given steps in order to correctly solve the following equation 7(2x-1)-11=6+6x

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:

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