z(x-y)=a(b+c)

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Solution for z(x-y)=a(b+c) equation:


Simplifying
z(x + -1y) = a(b + c)
(x * z + -1y * z) = a(b + c)
(xz + -1yz) = a(b + c)
xz + -1yz = (b * a + c * a)
xz + -1yz = (ab + ac)

Solving
xz + -1yz = ab + ac

Solving for variable 'x'.

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

Add 'yz' to each side of the equation.
xz + -1yz + yz = ab + ac + yz

Combine like terms: -1yz + yz = 0
xz + 0 = ab + ac + yz
xz = ab + ac + yz

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

Simplifying
x = abz-1 + acz-1 + y

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