3(2+y+2x)+21-3y+.5(2-10x)=50

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Solution for 3(2+y+2x)+21-3y+.5(2-10x)=50 equation: 


Simplifying
3(2 + y + 2x) + 21 + -3y + 0.5(2 + -10x) = 50

Reorder the terms:
3(2 + 2x + y) + 21 + -3y + 0.5(2 + -10x) = 50
(2 * 3 + 2x * 3 + y * 3) + 21 + -3y + 0.5(2 + -10x) = 50
(6 + 6x + 3y) + 21 + -3y + 0.5(2 + -10x) = 50
6 + 6x + 3y + 21 + -3y + (2 * 0.5 + -10x * 0.5) = 50
6 + 6x + 3y + 21 + -3y + (1 + -5x) = 50

Reorder the terms:
6 + 21 + 1 + 6x + -5x + 3y + -3y = 50

Combine like terms: 6 + 21 = 27
27 + 1 + 6x + -5x + 3y + -3y = 50

Combine like terms: 27 + 1 = 28
28 + 6x + -5x + 3y + -3y = 50

Combine like terms: 6x + -5x = 1x
28 + 1x + 3y + -3y = 50

Combine like terms: 3y + -3y = 0
28 + 1x + 0 = 50
28 + 1x = 50

Solving
28 + 1x = 50

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 1x = 50 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = 50 + -28
1x = 50 + -28

Combine like terms: 50 + -28 = 22
1x = 22

Divide each side by '1'.
x = 22

Simplifying
x = 22

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