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

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

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

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

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

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

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

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

Combine like terms: 1 + 2 = 3
3 + X + x + x = 3(x + 2)

Combine like terms: x + x = 2x
3 + X + 2x = 3(x + 2)

Reorder the terms:
3 + X + 2x = 3(2 + x)
3 + X + 2x = (2 * 3 + x * 3)
3 + X + 2x = (6 + 3x)

Solving
3 + X + 2x = 6 + 3x

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X + -3 + 2x = 6 + -3 + 3x

Reorder the terms:
3 + -3 + X + 2x = 6 + -3 + 3x

Combine like terms: 3 + -3 = 0
0 + X + 2x = 6 + -3 + 3x
X + 2x = 6 + -3 + 3x

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

Add '-2x' to each side of the equation.
X + 2x + -2x = 3 + 3x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 3 + 3x + -2x
X = 3 + 3x + -2x

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

Simplifying
X = 3 + 1x