X+(.5)(X+1)+(7+2(X+2))=2101

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Solution for X+(.5)(X+1)+(7+2(X+2))=2101 equation: 


Simplifying
X + (0.5)(X + 1) + (7 + 2(X + 2)) = 2101

Reorder the terms:
X + 0.5(1 + X) + (7 + 2(X + 2)) = 2101
X + (1 * 0.5 + X * 0.5) + (7 + 2(X + 2)) = 2101
X + (0.5 + 0.5X) + (7 + 2(X + 2)) = 2101

Reorder the terms:
X + 0.5 + 0.5X + (7 + 2(2 + X)) = 2101
X + 0.5 + 0.5X + (7 + (2 * 2 + X * 2)) = 2101
X + 0.5 + 0.5X + (7 + (4 + 2X)) = 2101

Combine like terms: 7 + 4 = 11
X + 0.5 + 0.5X + (11 + 2X) = 2101

Remove parenthesis around (11 + 2X)
X + 0.5 + 0.5X + 11 + 2X = 2101

Reorder the terms:
0.5 + 11 + X + 0.5X + 2X = 2101

Combine like terms: 0.5 + 11 = 11.5
11.5 + X + 0.5X + 2X = 2101

Combine like terms: X + 0.5X = 1.5X
11.5 + 1.5X + 2X = 2101

Combine like terms: 1.5X + 2X = 3.5X
11.5 + 3.5X = 2101

Solving
11.5 + 3.5X = 2101

Solving for variable 'X'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 3.5X = 2101 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 3.5X = 2101 + -11.5
3.5X = 2101 + -11.5

Combine like terms: 2101 + -11.5 = 2089.5
3.5X = 2089.5

Divide each side by '3.5'.
X = 597

Simplifying
X = 597

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