Question

How do you solve `2( 3x + 4) = 5( x - 5) + 1`?

Answer 1

To solve this equation, you must isolate `x` through PEMDAS.

Explanation:

First, distribute the `2` to `(3x+4)`, giving you `(6x+8)` on the left side.

On the right side, distribute the `5` to the `(x-5)`, giving you `(5x-25) + 1` on the right side.

You should now have

`6x+8 = 5x-25+1`

Add the `+1` to `-25`, giving you `-24`.

You should now have

`6x+8 = 5x-24`

Subtract `5x` from both sides to get `x` on the same side of the equation. You should get

`x+8 = -24`

Subtract `8` from both sides to isolate `x`, leaving you with

`x = -32`

Hope this helped!

Answer 2

`color(blue)(x=-32`

Explanation:

`2(3x+4)=5(x-5)+1`

`:.6x+8=5x-25+1`

`:.6x-5x=-25+1-8`

`:.x=-24-8`

`:.color(blue)(x=-32`

Substitute `color(blue)(x=-32`

`:.2(3(color(blue)(-32))+4)=5((color(blue)(-32))-5)+1`

`:.2(-96+4)=5(-37)+1`

`:.-192+8=-185+1`

`:.-184=-184`