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

1 Answer
Jul 26, 2015

Answer:

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)#