x+(3y-5z)=2-(-4y-2z)

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


Simplifying
x + (3y + -5z) = 2 + -1(-4y + -2z)

Remove parenthesis around (3y + -5z)
x + 3y + -5z = 2 + -1(-4y + -2z)
x + 3y + -5z = 2 + (-4y * -1 + -2z * -1)
x + 3y + -5z = 2 + (4y + 2z)

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

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

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

Combine like terms: 4y + -3y = 1y
x + -5z = 2 + 1y + 2z

Add '5z' to each side of the equation.
x + -5z + 5z = 2 + 1y + 2z + 5z

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

Combine like terms: 2z + 5z = 7z
x = 2 + 1y + 7z

Simplifying
x = 2 + 1y + 7z

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