Question 178403
{{{0.6(x-50) = 18-0.3(40-10x)}}} Start with the given equation.



{{{6(x-50) = 180-3(40-10x)}}} Multiply EVERY term (except the terms in the parenthesis) by 10 to make every number a whole number



{{{6x-300=180-120+30x}}} Distribute.



{{{6x-300=30x+60}}} Combine like terms on the right side.



{{{6x=30x+60+300}}} Add {{{300}}} to both sides.



{{{6x-30x=60+300}}} Subtract {{{30x}}} from both sides.



{{{-24x=60+300}}} Combine like terms on the left side.



{{{-24x=360}}} Combine like terms on the right side.



{{{x=(360)/(-24)}}} Divide both sides by {{{-24}}} to isolate {{{x}}}.



{{{x=-15}}} Reduce.



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Answer:


So the answer is {{{x=-15}}}