(x*.75)+[(x-30)*.25]=52.50

Solution for (x*.75)+[(x-30)*.25]=52.50 equation:

Simplifying
(x * 0.75) + [(x + -30) * 0.25] = 52.50

Reorder the terms for easier multiplication:
(0.75x) + [(x + -30) * 0.25] = 52.50

Reorder the terms:
(0.75x) + [(-30 + x) * 0.25] = 52.50

Reorder the terms for easier multiplication:
(0.75x) + [0.25(-30 + x)] = 52.50
(0.75x) + [(-30 * 0.25 + x * 0.25)] = 52.50
(0.75x) + [(-7.5 + 0.25x)] = 52.50
(0.75x) + [-7.5 + 0.25x] = 52.50

Remove brackets around [-7.5 + 0.25x]
(0.75x) + -7.5 + 0.25x = 52.50

Reorder the terms:
-7.5 + (0.75x) + 0.25x = 52.50

Combine like terms: (0.75x) + 0.25x = 1x
-7.5 + 1x = 52.50

Solving
-7.5 + 1x = 52.50

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 1x = 52.50 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 1x = 52.50 + 7.5
1x = 52.50 + 7.5

Combine like terms: 52.50 + 7.5 = 60
1x = 60

Divide each side by '1'.
x = 60

Simplifying
x = 60