Question 114668


{{{2(x-3)-3(x+5)=3(x-2)-7}}} Start with the given equation




{{{2x-6-3x-15=3x-6-7}}} Distribute



{{{-x-21=3x-6-7}}} Combine like terms on the left side



{{{-x-21=3x-13}}} Combine like terms on the right side



{{{-x=3x-13+21}}}Add 21 to both sides



{{{-x-3x=-13+21}}} Subtract 3x from both sides



{{{-4x=-13+21}}} Combine like terms on the left side



{{{-4x=8}}} Combine like terms on the right side



{{{x=(8)/(-4)}}} Divide both sides by -4 to isolate x




{{{x=-2}}} Divide


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Answer:

So our answer is {{{x=-2}}}