(3x-5y)-(2x-3y-z)+(y-z)=

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Solution for (3x-5y)-(2x-3y-z)+(y-z)= equation: 


Simplifying
(3x + -5y) + -1(2x + -3y + -1z) + (y + -1z) = 0

Remove parenthesis around (3x + -5y)
3x + -5y + -1(2x + -3y + -1z) + (y + -1z) = 0
3x + -5y + (2x * -1 + -3y * -1 + -1z * -1) + (y + -1z) = 0
3x + -5y + (-2x + 3y + 1z) + (y + -1z) = 0

Remove parenthesis around (y + -1z)
3x + -5y + -2x + 3y + 1z + y + -1z = 0

Reorder the terms:
3x + -2x + -5y + 3y + y + 1z + -1z = 0

Combine like terms: 3x + -2x = 1x
1x + -5y + 3y + y + 1z + -1z = 0

Combine like terms: -5y + 3y = -2y
1x + -2y + y + 1z + -1z = 0

Combine like terms: -2y + y = -1y
1x + -1y + 1z + -1z = 0

Combine like terms: 1z + -1z = 0
1x + -1y + 0 = 0
1x + -1y = 0

Solving
1x + -1y = 0

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
1x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
1x + 0 = 0 + y
1x = 0 + y
Remove the zero:
1x = y

Divide each side by '1'.
x = y

Simplifying
x = y

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