150=x(20)+x(y)+x(30)

Solution for 150=x(20)+x(y)+x(30) equation:

Simplifying
150 = x(20) + x(y) + x(30)

Reorder the terms for easier multiplication:
150 = 20x + x(y) + x(30)

Multiply x * y
150 = 20x + xy + x(30)

Reorder the terms for easier multiplication:
150 = 20x + xy + 30x

Reorder the terms:
150 = 20x + 30x + xy

Combine like terms: 20x + 30x = 50x
150 = 50x + xy

Solving
150 = 50x + xy

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
150 + -50x = 50x + -50x + xy

Combine like terms: 50x + -50x = 0
150 + -50x = 0 + xy
150 + -50x = xy

Add '-1xy' to each side of the equation.
150 + -50x + -1xy = xy + -1xy

Combine like terms: xy + -1xy = 0
150 + -50x + -1xy = 0

Add '-150' to each side of the equation.
150 + -50x + -150 + -1xy = 0 + -150

Reorder the terms:
150 + -150 + -50x + -1xy = 0 + -150

Combine like terms: 150 + -150 = 0
0 + -50x + -1xy = 0 + -150
-50x + -1xy = 0 + -150

Combine like terms: 0 + -150 = -150
-50x + -1xy = -150

Reorder the terms:
150 + -50x + -1xy = -150 + 150

Combine like terms: -150 + 150 = 0
150 + -50x + -1xy = 0

The solution to this equation could not be determined.