Question 117041
#1




{{{7(3x+4)=8(2x+5)+13}}} Start with the given equation




{{{21x+28=16x+40+13}}} Distribute



{{{21x+28=16x+53}}} Combine like terms on the right side



{{{21x=16x+53-28}}}Subtract 28 from both sides



{{{21x-16x=53-28}}} Subtract 16x from both sides



{{{5x=53-28}}} Combine like terms on the left side



{{{5x=25}}} Combine like terms on the right side



{{{x=(25)/(5)}}} Divide both sides by 5 to isolate x




{{{x=5}}} Divide


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Answer:

So our answer is {{{x=5}}} 




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#2





{{{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}}} 




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#3





{{{3x-5(3x-7)=2(x+9)+45}}} Start with the given equation




{{{3x-15x+35=2x+18+45}}} Distribute



{{{-12x+35=2x+18+45}}} Combine like terms on the left side



{{{-12x+35=2x+63}}} Combine like terms on the right side



{{{-12x=2x+63-35}}}Subtract 35 from both sides



{{{-12x-2x=63-35}}} Subtract 2x from both sides



{{{-14x=63-35}}} Combine like terms on the left side



{{{-14x=28}}} Combine like terms on the right side



{{{x=(28)/(-14)}}} Divide both sides by -14 to isolate x




{{{x=-2}}} Divide


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Answer:

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