Question

How do you solve `40x = 30( x + 2)`?

Answer 1

`x=6`

Explanation:

Use the Distributive property to multiply `30` and `x+2`

`40x=30x+60`

Subtract `30x` from both sides of the equation

`10x=60`

Divide both sides of the equation by `10`

`x=6`

Answer 2

See a solution process below:

Explanation:

First, expand the term in parenthesis on the right side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:

`40x = color(red)(30)(x + 2)`

`40x = (color(red)(30) xx x) + (color(red)(30) xx 2)`

`40x = 30x + 60`

Next, subtract `color(red)(30x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(red)(30x) + 40x = -color(red)(30x) + 30x + 60`

`(-color(red)(30) + 40)x = 0 + 60`

`10x = 60`

Now, divide each side of the equation by `color(red)(10)` to solve for `x` while keeping the equation balanced:

`(10x)/color(red)(10) = 60/color(red)(10)`

`(color(red)(cancel(color(black)(10)))x)/cancel(color(red)(10)) = 6`

`x = 6`