Question

How do you solve `12(x+3) - 3x = 117`?

Answer 1

Multiply out the brackets and collect like terms,
Then get all the x terms on one side and all the number terms on the other side. `x = 9`

Explanation:

`12(x + 3) - 3x = 117`

`12x + 36 color(red)(-36) - 3x = 117 color(red)(-36)`

`9x = 117 - 36 rArr 9x = 81`

`x = 9`

Answer 2

`*x = 9*`

Explanation:

To solve this equation for the `x` variable we begin by using the distributive property to eliminate the parenthesis

`12(x+3) -3x = 117`

`12x + 36 -3x = 117`

Next we combine like terms

`12x - 3x = 9x`

`9x + 36 = 117`

isolate the term with `x` by subtracting `36` from both sides

`9x cancel(+36) cancel(-36) = 117 -36`

`9x =81`

divide by `9` on both sides to isolate the `x`

`(cancel9x)/cancel9= 81/9`

`*x = 9*`