Question

3/5n+15=10+2/5n what is n

Answer 1

`\textsf{Hey there!}`

`\mathsf{(3)/(5)n +15=10+(2)/(5)n}`

`\mathsf{\bf{SUBTRACT}\ \mathsf{by\ (2)/(5)n\ from\ both\ of\ your\ sides}}`

`\mathsf{Like: (3)/(5)n+15-(2)/(5)n=(2)/(5)n+10-(2)/(5)n}`

`\mathsf{\bf{CANCEL: (3)/(5)+(2)/(5)}}\textsf{out\ because that gives you\ 1}`

`\textsf{Solve\ the set we have left over}`

`\mathsf{Our\ new\ equation\ becomes: (1)/(5)n+15=10}`

`\mathsf{\bf{SUBTRACT}}\textsf{ by 15 on both of your sides}`

`\mathsf{(1)/(5)n+15-15=10-15}`

`\mathsf{Cancel\ out: 15-15\ because\ that\gives\ you\ 0 }`

`\mathsf{Keep: 10-15\ because\ it\ helps\ us\ solve\ for\ your\ n }`

`\mathsf{10-15=-5}`

`\mathsf{New\ equation: (1)/(5)n=-5}`

`\mathsf{\bf{MULTIPLY}\mathsf{\ both\ sides\ by\ 5}}`

`\mathsf{(1)/(5)n*5=5*-5}`

`\mathsf{Cancel\ out\ (1)/(5)*5 \ because \ it \ gives \ us \ 1}`
`\mathsf{Keep: 5* -5\ because\ it\gives\ us\ the\ value\ of\ your\ n}`

`\mathsf{n =5*-5}\\\mathsf{5*-5 = -25}`

`\textsf{Thus, \underline{\bf{n = -25}}}\checkmark`

`\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\bf{n =-25}}}}}}\checkmark`

`\textsf{Good luck on your assignment and enjoy your day!}`

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