Question 93330
"Solve 4r -7 = 8r + 13"





{{{4r-7=8r+13}}} Start with the given equation



{{{4r-7-8r=13}}} Subtract 8r from both sides



{{{4r-8r=13+7}}}Add 7 to both sides



{{{-4r=13+7}}} Combine like terms 4r and -8r on the left side to get -4r



{{{-4r=20}}} Combine like terms on the right side



{{{r=(20)/(-4)}}} Divide both sides by -4 to isolate r




{{{r=-5}}} Reduce


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Answer:

So our answer is {{{r=-5}}}



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"Solve 5x - 8 = 6 - 2x"




{{{5x-8=6-2x}}} Start with the given equation



{{{5x=6-2x+8}}}Add 8 to both sides



{{{5x+2x=6+8}}} Add 2x to both sides



{{{7x=6+8}}} Combine like terms 5x and  2x  on the left side to get 7x



{{{7x=14}}} Combine like terms on the right side



{{{x=(14)/(7)}}} Divide both sides by 7 to isolate x




{{{x=2}}} Reduce


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Answer:

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



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"Solve t/5 - 7 + 31 = 8(6-4)"


{{{t/5 - 7 + 31 = 8(6-4)}}}


{{{t/5 - 7 + 31 = 16}}} Simplify the right side


{{{5(t/5 - 7 + 31) = 5*16}}} Multiply both sides by 5


{{{t-35+155=80}}} Distribute and multiply





{{{t-35+155=80}}} Start with the given equation



{{{t+155=80+35}}}Add 35 to both sides



{{{t=80+35-155}}}Subtract 155 from both sides



{{{t=-40}}} Combine like terms on the right side


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Answer:

So our answer is {{{t=-40}}}



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"Solve 9-5(4-3) = -16 x/3"


{{{4 = -16 x/3}}} Distribute and simplify the left side


{{{12= -16x}}} Multiply both sides by 3


{{{(12)/(-16)= x}}} Divide both sides by -16


{{{-3/4= x}}} Divide both sides by -16


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Answer:

So our answer is {{{x=-3/4}}}