(X+y+4z)-(2x-6y+z)=

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Solution for (X+y+4z)-(2x-6y+z)= equation:


Simplifying
(X + y + 4z) + -1(2x + -6y + z) = 0

Remove parenthesis around (X + y + 4z)
X + y + 4z + -1(2x + -6y + z) = 0
X + y + 4z + (2x * -1 + -6y * -1 + z * -1) = 0
X + y + 4z + (-2x + 6y + -1z) = 0

Reorder the terms:
X + -2x + y + 6y + 4z + -1z = 0

Combine like terms: y + 6y = 7y
X + -2x + 7y + 4z + -1z = 0

Combine like terms: 4z + -1z = 3z
X + -2x + 7y + 3z = 0

Solving
X + -2x + 7y + 3z = 0

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
X + -2x + 7y + 2x + 3z = 0 + 2x

Reorder the terms:
X + -2x + 2x + 7y + 3z = 0 + 2x

Combine like terms: -2x + 2x = 0
X + 0 + 7y + 3z = 0 + 2x
X + 7y + 3z = 0 + 2x
Remove the zero:
X + 7y + 3z = 2x

Add '-7y' to each side of the equation.
X + 7y + -7y + 3z = 2x + -7y

Combine like terms: 7y + -7y = 0
X + 0 + 3z = 2x + -7y
X + 3z = 2x + -7y

Add '-3z' to each side of the equation.
X + 3z + -3z = 2x + -7y + -3z

Combine like terms: 3z + -3z = 0
X + 0 = 2x + -7y + -3z
X = 2x + -7y + -3z

Simplifying
X = 2x + -7y + -3z

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