Question

How do you solve `5x - 12 [x - 2 (20 - x )] * 4 * 16 + [8x - 2x * 5] =4250`?

Answer 1

You isolate `x` on one side of the equation.

Explanation:

Start by getting rid of the parantheses - remember to use PEMDAS to help you with the order of operations.

`5x - 12[x - 2(20-x)] * 4 * 16 + (8x-2x*5) = 4250`

`5x - 12(x - 40 + 2x) * 64 + (-2x) = 4250`

`3x - 12(3x - 40) * 64 = 4250`

`3x - 2304x + 30720 = 4250`

`-2301x + 30720 = 4250`

To isolate `x` on one side of the equation, add `-30720` to both side of the equation

`-2301x + color(red)(cancel(color(black)(30720))) - color(red)(cancel(color(black)(30720))) = 4250 - 30720`

`-2301x = -26470`

Finally, divide both sides of the equation by `-2301` to get

`(color(red)(cancel(color(black)(-2301)))x)/color(red)(cancel(color(black)(-2301))) = (-26470)/(-2301)`

`x = 26470/2301 ~~ color(green)(11.5)`