59=[x-150]*0.75+50

Solution for 59=[x-150]*0.75+50 equation:

Simplifying
59 = [x + -150] * 0.75 + 50

Reorder the terms:
59 = [-150 + x] * 0.75 + 50

Reorder the terms for easier multiplication:
59 = 0.75[-150 + x] + 50
59 = [-150 * 0.75 + x * 0.75] + 50
59 = [-112.5 + 0.75x] + 50

Reorder the terms:
59 = -112.5 + 50 + 0.75x

Combine like terms: -112.5 + 50 = -62.5
59 = -62.5 + 0.75x

Solving
59 = -62.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
59 + -0.75x = -62.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
59 + -0.75x = -62.5 + 0.00
59 + -0.75x = -62.5

Add '-59' to each side of the equation.
59 + -59 + -0.75x = -62.5 + -59

Combine like terms: 59 + -59 = 0
0 + -0.75x = -62.5 + -59
-0.75x = -62.5 + -59

Combine like terms: -62.5 + -59 = -121.5
-0.75x = -121.5

Divide each side by '-0.75'.
x = 162

Simplifying
x = 162