Question

How do you solve `96= 3( 4x + 8)`?

Answer 1

`x=6`

Explanation:

`96=3(4x+8)`

Step 1: Simplify both sides of the equation.

`96=3(4x+8)`
`96=(3)(4x)+(3)(8)" "`(Distribute)
`96=12x+24`

Step 2: Flip the equation.

`12x+24=96`

Step 3: Subtract `24` from both sides.
`12x+24−24=96−24`
`12x=72`

Step 4: Divide both sides by `12`
`(12x)/12 = =72/12`

`x=6`

Answer 2

`x=6`

Explanation:

In order to solve the equation, you need to isolate the `x` term.

Rather than removing the brackets by distributing the `3` into the bracket, you can divide both sides by `3`.

`(cancel3(4x+8))/cancel3 = (cancel96 32)/cancel3`

`" "4x+8 = 32" "larr` subtract `8` from each side.

`4x +8color(blue)(-8) = 32color(blue)(-8)`

`" "4x = 24" "larr div4`

`" "x=6`