Question 201824
{{{ X = B * (X + Y + Z) }}} Start with the given equation.



{{{ X = BX + BY + BZ}}} Distribute



{{{ X - BX = BY + BZ}}} Subtract BX from both sides.



{{{ X(1 - B) = BY + BZ}}} Factor out the GCF "X"



{{{ X = (BY + BZ)/(1 - B)}}} Divide both sides by {{{1-B}}} to isolate "X"



So the solution is {{{ X = (BY + BZ)/(1 - B)}}}