X+(x+1)+(x+2)+(x+3)=x+19

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Solution for X+(x+1)+(x+2)+(x+3)=x+19 equation:


Simplifying
X + (x + 1) + (x + 2) + (x + 3) = x + 19

Reorder the terms:
X + (1 + x) + (x + 2) + (x + 3) = x + 19

Remove parenthesis around (1 + x)
X + 1 + x + (x + 2) + (x + 3) = x + 19

Reorder the terms:
X + 1 + x + (2 + x) + (x + 3) = x + 19

Remove parenthesis around (2 + x)
X + 1 + x + 2 + x + (x + 3) = x + 19

Reorder the terms:
X + 1 + x + 2 + x + (3 + x) = x + 19

Remove parenthesis around (3 + x)
X + 1 + x + 2 + x + 3 + x = x + 19

Reorder the terms:
1 + 2 + 3 + X + x + x + x = x + 19

Combine like terms: 1 + 2 = 3
3 + 3 + X + x + x + x = x + 19

Combine like terms: 3 + 3 = 6
6 + X + x + x + x = x + 19

Combine like terms: x + x = 2x
6 + X + 2x + x = x + 19

Combine like terms: 2x + x = 3x
6 + X + 3x = x + 19

Reorder the terms:
6 + X + 3x = 19 + x

Solving
6 + X + 3x = 19 + x

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + X + -6 + 3x = 19 + -6 + x

Reorder the terms:
6 + -6 + X + 3x = 19 + -6 + x

Combine like terms: 6 + -6 = 0
0 + X + 3x = 19 + -6 + x
X + 3x = 19 + -6 + x

Combine like terms: 19 + -6 = 13
X + 3x = 13 + x

Add '-3x' to each side of the equation.
X + 3x + -3x = 13 + x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 13 + x + -3x
X = 13 + x + -3x

Combine like terms: x + -3x = -2x
X = 13 + -2x

Simplifying
X = 13 + -2x

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