Problem: How to do this?
5{4[2(6x-3)-2(x+7)+4]-2[4(3x-5)-6(4x+2)+6]}=9
I'll try to highlight each operation as I go along, to make it
easier for you to see each step.
5(4(2(6x - 3) - 2(x + 7) + 4) - 2(4(3x - 5) - 6(4x + 2) + 6)) = 9
5(4(2(6x - 3) - 2(x + 7) + 4) - 2(4(3x - 5) - (24x + 12) + 6)) = 9
5(4(2(6x - 3) - 2(x + 7) + 4) - 2( (12x - 20) - (24x + 12) + 6)) = 9
5(4(2(6x - 3) - (2x + 14) + 4) - 2( (12x - 20) - (24x + 12) + 6)) = 9
5(4( (12x - 6) - (2x + 14) + 4) - 2( (12x - 20) - (24x + 12) + 6)) = 9
5(4( (12x - 6) - (2x + 14) + 4) - 2( (-12x - 32) + 6)) = 9
5(4( (10x - 20) + 4) - 2( (-12x - 32) + 6)) = 9
5(4( (10x - 20) + 4) - 2( (-12x - 26) )) = 9
5(4( (10x - 16) ) - 2( (-12x - 26) )) = 9 Removing parentheses
5(4( (10x - 16) ) - 2(-12x - 26)) = 9 Removing parentheses
5(4(10x - 16) - 2(-12x - 26)) = 9
5( (40x - 64) - 2(-12x - 26)) = 9
5( (40x - 64) - (-24x - 52)) = 9
5( (40x - 64) + (+24x + 52)) = 9
5( (64x - 64) + ( + 52)) = 9
5( (64x - 12) + ()) = 9 Again, removing parentheses
5( (64x - 12)) = 9 Removing parentheses
5(64x - 12) = 9
(320x - 60) = 9 Removing parentheses
320x - 60 = 9
320x - 60 + 60 = 9 + 60
320x = 69
320x/320 = 69/320
Answer: x = 0.215625