Question 316079
{{{0.12 - 0.02 (x+3) = -0.05 (3-x)}}} Start with the given equation.



{{{0.12 - 0.02x-0.02(3) = -0.05(3)+0.05x}}} Distribute.



{{{0.12 - 0.02x-0.06 = -0.15+0.05x}}} Multiply.



{{{12 - 2x-6 = -15+5x}}} Multiply EVERY term by 100 to clear out the decimals (this basically moves the decimal 2 spots to the right)



{{{-2x+6=-15+5x}}} Combine like terms on the left side.



{{{-2x=-15+5x-6}}} Subtract {{{6}}} from both sides.



{{{-2x-5x=-15-6}}} Subtract {{{5x}}} from both sides.



{{{-7x=-15-6}}} Combine like terms on the left side.



{{{-7x=-21}}} Combine like terms on the right side.



{{{x=(-21)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}.



{{{x=3}}} Reduce.



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Answer:


So the solution is {{{x=3}}}