Solve for x:
9 (5-3 x) = (x+4)/2
Multiply both sides by 2:
2×9 (5-3 x) = 1 (x+4)
(2 (x+4))/2 = 2/2×(x+4) = x+4:
2×9 (5-3 x) = x+4
2×9 = 18:
18 (5-3 x) = x+4
Expand out terms of the left hand side:
90-54 x = x+4
Subtract x from both sides:
90+(-54 x-x) = (x-x)+4
-54 x-x = -55 x:
-55 x+90 = (x-x)+4
x-x = 0:
90-55 x = 4
Subtract 90 from both sides:
(90-90)-55 x = 4-90
90-90 = 0:
-55 x = 4-90
4-90 = -86:
-55 x = -86
Divide both sides of -55 x = -86 by -55:
(-55 x)/(-55) = (-86)/(-55)
(-55)/(-55) = 1:
x = (-86)/(-55)
The sign of (-86)/(-55) is positive, so (-86)/(-55) = 1×86/55:
Answer: |x = 86/55