2x+3y-4z=5y-6z

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Solution for 2x+3y-4z=5y-6z equation:


Simplifying
2x + 3y + -4z = 5y + -6z

Solving
2x + 3y + -4z = 5y + -6z

Solving for variable 'x'.

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

Add '-3y' to each side of the equation.
2x + 3y + -3y + -4z = 5y + -3y + -6z

Combine like terms: 3y + -3y = 0
2x + 0 + -4z = 5y + -3y + -6z
2x + -4z = 5y + -3y + -6z

Combine like terms: 5y + -3y = 2y
2x + -4z = 2y + -6z

Add '4z' to each side of the equation.
2x + -4z + 4z = 2y + -6z + 4z

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

Combine like terms: -6z + 4z = -2z
2x = 2y + -2z

Divide each side by '2'.
x = y + -1z

Simplifying
x = y + -1z

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