Question 146247

{{{(3/8)x-7=5(-x+1)}}} Start with the given equation.



{{{(3/8)x-7=-5x+5}}} Distribute.



{{{8((3/cross(8))x-7)=8(-5x+5)}}} Multiply both sides by the LCD {{{8}}} to clear any fractions.



{{{3x-56=-40x+40}}} Distribute and multiply.



{{{3x=-40x+40+56}}} Add {{{56}}} to both sides.



{{{3x+40x=40+56}}} Add {{{40x}}} to both sides.



{{{43x=40+56}}} Combine like terms on the left side.



{{{43x=96}}} Combine like terms on the right side.



{{{x=(96)/(43)}}} Divide both sides by {{{43}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=96/43}}} 



Which approximates to {{{x=2.233}}}