X+y(x-5)+z(x-10)=60

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Solution for X+y(x-5)+z(x-10)=60 equation: 


Simplifying
X + y(x + -5) + z(x + -10) = 60

Reorder the terms:
X + y(-5 + x) + z(x + -10) = 60
X + (-5 * y + x * y) + z(x + -10) = 60

Reorder the terms:
X + (xy + -5y) + z(x + -10) = 60
X + (xy + -5y) + z(x + -10) = 60

Reorder the terms:
X + xy + -5y + z(-10 + x) = 60
X + xy + -5y + (-10 * z + x * z) = 60

Reorder the terms:
X + xy + -5y + (xz + -10z) = 60
X + xy + -5y + (xz + -10z) = 60

Reorder the terms:
X + xy + xz + -5y + -10z = 60

Solving
X + xy + xz + -5y + -10z = 60

Solving for variable 'X'.

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

Add '-1xy' to each side of the equation.
X + xy + xz + -5y + -1xy + -10z = 60 + -1xy

Reorder the terms:
X + xy + -1xy + xz + -5y + -10z = 60 + -1xy

Combine like terms: xy + -1xy = 0
X + 0 + xz + -5y + -10z = 60 + -1xy
X + xz + -5y + -10z = 60 + -1xy

Add '-1xz' to each side of the equation.
X + xz + -5y + -1xz + -10z = 60 + -1xy + -1xz

Reorder the terms:
X + xz + -1xz + -5y + -10z = 60 + -1xy + -1xz

Combine like terms: xz + -1xz = 0
X + 0 + -5y + -10z = 60 + -1xy + -1xz
X + -5y + -10z = 60 + -1xy + -1xz

Add '5y' to each side of the equation.
X + -5y + 5y + -10z = 60 + -1xy + -1xz + 5y

Combine like terms: -5y + 5y = 0
X + 0 + -10z = 60 + -1xy + -1xz + 5y
X + -10z = 60 + -1xy + -1xz + 5y

Add '10z' to each side of the equation.
X + -10z + 10z = 60 + -1xy + -1xz + 5y + 10z

Combine like terms: -10z + 10z = 0
X + 0 = 60 + -1xy + -1xz + 5y + 10z
X = 60 + -1xy + -1xz + 5y + 10z

Simplifying
X = 60 + -1xy + -1xz + 5y + 10z

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