(x+3)1.5+(y+3)1.5=20.5

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Solution for (x+3)1.5+(y+3)1.5=20.5 equation: 


Simplifying
(x + 3) * 1.5 + (y + 3) * 1.5 = 20.5

Reorder the terms:
(3 + x) * 1.5 + (y + 3) * 1.5 = 20.5

Reorder the terms for easier multiplication:
1.5(3 + x) + (y + 3) * 1.5 = 20.5
(3 * 1.5 + x * 1.5) + (y + 3) * 1.5 = 20.5
(4.5 + 1.5x) + (y + 3) * 1.5 = 20.5

Reorder the terms:
4.5 + 1.5x + (3 + y) * 1.5 = 20.5

Reorder the terms for easier multiplication:
4.5 + 1.5x + 1.5(3 + y) = 20.5
4.5 + 1.5x + (3 * 1.5 + y * 1.5) = 20.5
4.5 + 1.5x + (4.5 + 1.5y) = 20.5

Reorder the terms:
4.5 + 4.5 + 1.5x + 1.5y = 20.5

Combine like terms: 4.5 + 4.5 = 9
9 + 1.5x + 1.5y = 20.5

Solving
9 + 1.5x + 1.5y = 20.5

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + 1.5x + -9 + 1.5y = 20.5 + -9

Reorder the terms:
9 + -9 + 1.5x + 1.5y = 20.5 + -9

Combine like terms: 9 + -9 = 0
0 + 1.5x + 1.5y = 20.5 + -9
1.5x + 1.5y = 20.5 + -9

Combine like terms: 20.5 + -9 = 11.5
1.5x + 1.5y = 11.5

Add '-1.5y' to each side of the equation.
1.5x + 1.5y + -1.5y = 11.5 + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
1.5x + 0.0 = 11.5 + -1.5y
1.5x = 11.5 + -1.5y

Divide each side by '1.5'.
x = 7.666666667 + -1y

Simplifying
x = 7.666666667 + -1y

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