(x+M)=(nq+rq)

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Solution for (x+M)=(nq+rq) equation: 


Simplifying
(x + M) = (nq + rq)

Reorder the terms:
(M + x) = (nq + rq)

Remove parenthesis around (M + x)
M + x = (nq + rq)

Remove parenthesis around (nq + qr)
M + x = nq + qr

Solving
M + x = nq + qr

Solving for variable 'M'.

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

Add '-1x' to each side of the equation.
M + x + -1x = nq + qr + -1x

Combine like terms: x + -1x = 0
M + 0 = nq + qr + -1x
M = nq + qr + -1x

Simplifying
M = nq + qr + -1x

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