X+(x+2)+(x+4)+(x+6)=7(x+6)

Solution for X+(x+2)+(x+4)+(x+6)=7(x+6) equation:

Simplifying
X + (x + 2) + (x + 4) + (x + 6) = 7(x + 6)

Reorder the terms:
X + (2 + x) + (x + 4) + (x + 6) = 7(x + 6)

Remove parenthesis around (2 + x)
X + 2 + x + (x + 4) + (x + 6) = 7(x + 6)

Reorder the terms:
X + 2 + x + (4 + x) + (x + 6) = 7(x + 6)

Remove parenthesis around (4 + x)
X + 2 + x + 4 + x + (x + 6) = 7(x + 6)

Reorder the terms:
X + 2 + x + 4 + x + (6 + x) = 7(x + 6)

Remove parenthesis around (6 + x)
X + 2 + x + 4 + x + 6 + x = 7(x + 6)

Reorder the terms:
2 + 4 + 6 + X + x + x + x = 7(x + 6)

Combine like terms: 2 + 4 = 6
6 + 6 + X + x + x + x = 7(x + 6)

Combine like terms: 6 + 6 = 12
12 + X + x + x + x = 7(x + 6)

Combine like terms: x + x = 2x
12 + X + 2x + x = 7(x + 6)

Combine like terms: 2x + x = 3x
12 + X + 3x = 7(x + 6)

Reorder the terms:
12 + X + 3x = 7(6 + x)
12 + X + 3x = (6 * 7 + x * 7)
12 + X + 3x = (42 + 7x)

Solving
12 + X + 3x = 42 + 7x

Solving for variable 'X'.

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

Add '-12' to each side of the equation.
12 + X + -12 + 3x = 42 + -12 + 7x

Reorder the terms:
12 + -12 + X + 3x = 42 + -12 + 7x

Combine like terms: 12 + -12 = 0
0 + X + 3x = 42 + -12 + 7x
X + 3x = 42 + -12 + 7x

Combine like terms: 42 + -12 = 30
X + 3x = 30 + 7x

Add '-3x' to each side of the equation.
X + 3x + -3x = 30 + 7x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 30 + 7x + -3x
X = 30 + 7x + -3x

Combine like terms: 7x + -3x = 4x
X = 30 + 4x

Simplifying
X = 30 + 4x