X(m+3)+y(m-6)=z(m-8)

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Solution for X(m+3)+y(m-6)=z(m-8) equation:


Simplifying
X(m + 3) + y(m + -6) = z(m + -8)

Reorder the terms:
X(3 + m) + y(m + -6) = z(m + -8)
(3 * X + m * X) + y(m + -6) = z(m + -8)
(3X + mX) + y(m + -6) = z(m + -8)

Reorder the terms:
3X + mX + y(-6 + m) = z(m + -8)
3X + mX + (-6 * y + m * y) = z(m + -8)

Reorder the terms:
3X + mX + (my + -6y) = z(m + -8)
3X + mX + (my + -6y) = z(m + -8)

Reorder the terms:
3X + mX + my + -6y = z(-8 + m)
3X + mX + my + -6y = (-8 * z + m * z)

Reorder the terms:
3X + mX + my + -6y = (mz + -8z)
3X + mX + my + -6y = (mz + -8z)

Solving
3X + mX + my + -6y = mz + -8z

Solving for variable 'X'.

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

Add '-1my' to each side of the equation.
3X + mX + my + -1my + -6y = mz + -1my + -8z

Combine like terms: my + -1my = 0
3X + mX + 0 + -6y = mz + -1my + -8z
3X + mX + -6y = mz + -1my + -8z

Reorder the terms:
3X + mX + -6y = -1my + mz + -8z

Add '6y' to each side of the equation.
3X + mX + -6y + 6y = -1my + mz + 6y + -8z

Combine like terms: -6y + 6y = 0
3X + mX + 0 = -1my + mz + 6y + -8z
3X + mX = -1my + mz + 6y + -8z

Reorder the terms:
3X + mX + my + -1mz + -6y + 8z = -1my + my + mz + -1mz + 6y + -6y + -8z + 8z

Combine like terms: -1my + my = 0
3X + mX + my + -1mz + -6y + 8z = 0 + mz + -1mz + 6y + -6y + -8z + 8z
3X + mX + my + -1mz + -6y + 8z = mz + -1mz + 6y + -6y + -8z + 8z

Combine like terms: mz + -1mz = 0
3X + mX + my + -1mz + -6y + 8z = 0 + 6y + -6y + -8z + 8z
3X + mX + my + -1mz + -6y + 8z = 6y + -6y + -8z + 8z

Combine like terms: 6y + -6y = 0
3X + mX + my + -1mz + -6y + 8z = 0 + -8z + 8z
3X + mX + my + -1mz + -6y + 8z = -8z + 8z

Combine like terms: -8z + 8z = 0
3X + mX + my + -1mz + -6y + 8z = 0

The solution to this equation could not be determined.

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