Question 1115846
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How would you solve the equation:
-8(x+3)=12(x+5) 
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You asked, "How would you solve...".


You would solve in this way:


Let a, b, c, and d be nonzero constant, real numbers.

{{{a(x+c)=b(x+d)}}}
Solve for x.


{{{ax+ac=bx+bd}}}
{{{ax-bx+ac=bd}}}
{{{ax-bx=bd-ac}}}
{{{x(a-b)=bd-ac}}}

{{{highlight_green(x=(bd-ac)/(a-b))}}}


You can either follow the steps or use result as a formula.  Whichever way, watch the signs carefully.