(w+2X)+(2w+3y)+(X+3z)=150+100+50

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Solution for (w+2X)+(2w+3y)+(X+3z)=150+100+50 equation: 


Simplifying
(w + 2X) + (2w + 3y) + (X + 3z) = 150 + 100 + 50

Reorder the terms:
(2X + w) + (2w + 3y) + (X + 3z) = 150 + 100 + 50

Remove parenthesis around (2X + w)
2X + w + (2w + 3y) + (X + 3z) = 150 + 100 + 50

Remove parenthesis around (2w + 3y)
2X + w + 2w + 3y + (X + 3z) = 150 + 100 + 50

Remove parenthesis around (X + 3z)
2X + w + 2w + 3y + X + 3z = 150 + 100 + 50

Reorder the terms:
2X + X + w + 2w + 3y + 3z = 150 + 100 + 50

Combine like terms: 2X + X = 3X
3X + w + 2w + 3y + 3z = 150 + 100 + 50

Combine like terms: w + 2w = 3w
3X + 3w + 3y + 3z = 150 + 100 + 50

Combine like terms: 150 + 100 = 250
3X + 3w + 3y + 3z = 250 + 50

Combine like terms: 250 + 50 = 300
3X + 3w + 3y + 3z = 300

Solving
3X + 3w + 3y + 3z = 300

Solving for variable 'X'.

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

Add '-3w' to each side of the equation.
3X + 3w + 3y + -3w + 3z = 300 + -3w

Reorder the terms:
3X + 3w + -3w + 3y + 3z = 300 + -3w

Combine like terms: 3w + -3w = 0
3X + 0 + 3y + 3z = 300 + -3w
3X + 3y + 3z = 300 + -3w

Add '-3y' to each side of the equation.
3X + 3y + -3y + 3z = 300 + -3w + -3y

Combine like terms: 3y + -3y = 0
3X + 0 + 3z = 300 + -3w + -3y
3X + 3z = 300 + -3w + -3y

Add '-3z' to each side of the equation.
3X + 3z + -3z = 300 + -3w + -3y + -3z

Combine like terms: 3z + -3z = 0
3X + 0 = 300 + -3w + -3y + -3z
3X = 300 + -3w + -3y + -3z

Divide each side by '3'.
X = 100 + -1w + -1y + -1z

Simplifying
X = 100 + -1w + -1y + -1z

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