Question 104370
1.



{{{2x+5-3(x+7)=4-6x}}} Start with the given equation




{{{2x+5-3x-21=4-6x}}} Distribute



{{{-x-16=4-6x}}} Combine like terms on the left side



{{{-x=4-6x+16}}}Add 16 to both sides



{{{-x+6x=4+16}}} Add 6x to both sides



{{{5x=4+16}}} Combine like terms on the left side



{{{5x=20}}} Combine like terms on the right side



{{{x=(20)/(5)}}} Divide both sides by 5 to isolate x




{{{x=4}}} Divide


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Answer:

So our answer is {{{x=4}}} 


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2.

{{{(x+2)(3x-5)=3x(x-8)+15}}} Start with the given equation



{{{3x^2+x-10=3x(x-8)+15}}} Foil



{{{3x^2+x-10=3x^2-24x+15}}} Distribute




{{{x-10=-24x+15}}} Subtract {{{3x^2}}} from both sides




{{{x=-24x+15+10}}}Add 10 to both sides



{{{x+24x=15+10}}} Add 24x to both sides



{{{25x=15+10}}} Combine like terms on the left side



{{{25x=25}}} Combine like terms on the right side



{{{x=(25)/(25)}}} Divide both sides by 25 to isolate x




{{{x=1}}} Divide


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Answer:

So our answer is {{{x=1}}}