Question

8m+13=13+8m
Explain your answer

Answer 1

Explanation:

Simplifying

8m + 13 = 13 + 8m

Reorder the terms:

13 + 8m = 13 + 8m

Add '-13' to each side of the equation.

13 + -13 + 8m = 13 + -13 + 8m

Combine like terms: 13 + -13 = 0

0 + 8m = 13 + -13 + 8m

8m = 13 + -13 + 8m

Combine like terms: 13 + -13 = 0

8m = 0 + 8m

8m = 8m

Add '-8m' to each side of the equation.

8m + -8m = 8m + -8m

Combine like terms: 8m + -8m = 0

0 = 8m + -8m

Combine like terms: 8m + -8m = 0

0 = 0

Solving

0 = 0

Answer 2

`\text{Hey there!}`

`\mathsf{Simplify\ both\ sides\ of\ the\ equation}`

`\mathsf{8m+13=8m+13}`

`\mathsf{Subtract\ by\ 8x\ on\ your\ sides}`

`\mathsf{8m+13-8m=8m+13-8m}`

`\mathsf{Cancel: 8m - 8m\ because\ it\ equals\ to\ 0}`

`\mathsf{Also\ cancel\ out: 8m-8m\ because\ it\ ALSO\ equals\ to\ 0}`

`\mathsf{Which\ converts\ to: 13=13}`

`\mathsf{Subtract\ by\ 13\ from\ your\ sides}`

`\mathsf{13-13=13-13}`

`\mathsf{13-13=0}`

`\mathsf{13-13=0}`

`\mathsf{Converts\ to: 0=0}`

`\boxed{\boxed{\mathsf{Thus\ your\ answer\ is: All\ real\ numbers\ are\ solutions}}}\mathsf{\checkmark}`

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

~
`\frac{\frak{LoveYourselfFirst}}{:)}`