Question

4(x+2)=3(x-2) solve for x

Answer 1

Hey there!☺

`Answer:\boxed{x=-14}`

`Explanation:`

`4(x+2)=3(x-2)`

In our first step, we will simplify both sides in the equation:

`4(x+2)=3(x-2)`

Let's distribute:

`(4)(x)+(4)(2)=(3)(x)+(3)(-2)\\4x+8=3x+-6\\4x+8=3x-6`

Now in our second step, we will subtract 3x from both sides of the equation:

`4x+8-3x=3x-6-3x\\x+8=-6`

In our last step, we will need to subtract 8 from both sides of the equation:

`x+8-8=-6-8\\x=-14`

Hope this helps!☺

Answer 2

`x = - 14`

Explanation:

`4( x + 2) = 3(x - 2) \\ 4x + 8 = 3x - 6 \\ 4x - 3x + 8 = 3x - 3x - 6 \\ x + 8 = - 6 \\ x + 8 - 8 = - 6 - 8 \\ x = - 14`