X+(x+10)+(X+20)+(x+30)=4446

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Solution for X+(x+10)+(X+20)+(x+30)=4446 equation:


Simplifying
X + (x + 10) + (X + 20) + (x + 30) = 4446

Reorder the terms:
X + (10 + x) + (X + 20) + (x + 30) = 4446

Remove parenthesis around (10 + x)
X + 10 + x + (X + 20) + (x + 30) = 4446

Reorder the terms:
X + 10 + x + (20 + X) + (x + 30) = 4446

Remove parenthesis around (20 + X)
X + 10 + x + 20 + X + (x + 30) = 4446

Reorder the terms:
X + 10 + x + 20 + X + (30 + x) = 4446

Remove parenthesis around (30 + x)
X + 10 + x + 20 + X + 30 + x = 4446

Reorder the terms:
10 + 20 + 30 + X + X + x + x = 4446

Combine like terms: 10 + 20 = 30
30 + 30 + X + X + x + x = 4446

Combine like terms: 30 + 30 = 60
60 + X + X + x + x = 4446

Combine like terms: X + X = 2X
60 + 2X + x + x = 4446

Combine like terms: x + x = 2x
60 + 2X + 2x = 4446

Solving
60 + 2X + 2x = 4446

Solving for variable 'X'.

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

Add '-60' to each side of the equation.
60 + 2X + -60 + 2x = 4446 + -60

Reorder the terms:
60 + -60 + 2X + 2x = 4446 + -60

Combine like terms: 60 + -60 = 0
0 + 2X + 2x = 4446 + -60
2X + 2x = 4446 + -60

Combine like terms: 4446 + -60 = 4386
2X + 2x = 4386

Add '-2x' to each side of the equation.
2X + 2x + -2x = 4386 + -2x

Combine like terms: 2x + -2x = 0
2X + 0 = 4386 + -2x
2X = 4386 + -2x

Divide each side by '2'.
X = 2193 + -1x

Simplifying
X = 2193 + -1x

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