X+(x+2)+(x+4)=4x-17

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Solution for X+(x+2)+(x+4)=4x-17 equation:


Simplifying
X + (x + 2) + (x + 4) = 4x + -17

Reorder the terms:
X + (2 + x) + (x + 4) = 4x + -17

Remove parenthesis around (2 + x)
X + 2 + x + (x + 4) = 4x + -17

Reorder the terms:
X + 2 + x + (4 + x) = 4x + -17

Remove parenthesis around (4 + x)
X + 2 + x + 4 + x = 4x + -17

Reorder the terms:
2 + 4 + X + x + x = 4x + -17

Combine like terms: 2 + 4 = 6
6 + X + x + x = 4x + -17

Combine like terms: x + x = 2x
6 + X + 2x = 4x + -17

Reorder the terms:
6 + X + 2x = -17 + 4x

Solving
6 + X + 2x = -17 + 4x

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 + 2x = -17 + -6 + 4x

Reorder the terms:
6 + -6 + X + 2x = -17 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + X + 2x = -17 + -6 + 4x
X + 2x = -17 + -6 + 4x

Combine like terms: -17 + -6 = -23
X + 2x = -23 + 4x

Add '-2x' to each side of the equation.
X + 2x + -2x = -23 + 4x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = -23 + 4x + -2x
X = -23 + 4x + -2x

Combine like terms: 4x + -2x = 2x
X = -23 + 2x

Simplifying
X = -23 + 2x

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