Question

Justify each step in solving 2(x+7) + 4x = 44

Answer 1

Hey there!

`2(x+7)+4x=44`

Simplify both sides of the equation:

`2(x+7)+4x=44`

Now let's distribute:

`(2)(x)+(2)(7)+4x=44\\2x+14+4x=44`

Combine like terms:

`(2x+4x)+(14)=44\\6x+14=44`

Now subtract 14 from both sides:

`6x+14-14=44-14\\6x=30`

Divide both sides by 6:

`(6x)/(6)=(30)/(6)`

To get our final answer, we must simplify 30/6 by dividing:

`(30)/(6)=5\\ x=5`

Hope this helps!

`AT2309`