Question

How do you solve this fraction?

Answer 1

`\huge\textbf{Hey there!}`

`\mathsf{(2)/(3)x+ 15 = 17}`

`\large\textbf{SUBTRACT 15 to BOTH SIDES}`

`\mathsf{\frac{}{}x + 15 - 15 = 17 - 15}`

`\large\textbf{CANCEL out: 15 - 15 because it give you 0}\\\\\large\textbf{KEEP: 17 - 15 because it help solve for the x-value}`

`\large\textbf{NEW EQUATION: }\mathbf{(2)/(3)x = 2}`

`\large\textbf{SIMPLIFY IT!}`

`\large\textbf{MULTIPLY by }\mathbf{(3)/(2)}\large\textbf{ to BOTH SIDES}`

`\mathsf{(3)/(2)*(2)/(3)x = (3)/(2)*2}`

`\large\textbf{CANCEL out: }\mathbf{(3)/(2)*(2)/(3)}\large\textbf{ because it give you 1}\\\\\large\textbf{KEEP: }\mathbf{2*(3)/(2) }\large\textbf{ because it give you the answer for the x-value}`

`\large\textbf{NEW EQUATION: }\mathbf{x = (3)/(2)*2}`

`\large\textbf{SIMPLIFY IT!}`

`\mathsf{x = 3}`

`\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 3}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

2/3 x + 15 = 17
2/3 x = 17 - 15 = 2
x = 2 ÷ 2/3 = 2 x 3/2 = 3