SOLUTION: a(x+c)=b(x-c) solve for x

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Question 486670: a(x+c)=b(x-c) solve for x
Answer by mgmoeab(37) About Me  (Show Source):
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a(x+c)=b(x-c) solve for x
first step: distribute
a(x+c)=b(x-c) ----> ax + ac = bx - bc
second: get your ¨x¨ on one side
ax + ac = bx - bc ----> ax - bx = -bc - ac
third: common factor
ax - bx = -bc - ac ----> x ( a - b) = -c ( b + a )
forth: get ¨x¨ by itself (dividing both sides by the coefficient in front of x)
x ( a - b) = -c ( b + a ) ----> x = (-c ( b + a)/ (a - b))