\(\huge\textbf{Hey there!}\)
\(\mathsf{\dfrac{2}{3}x+ 15 = 17}\)
\(\large\textbf{SUBTRACT 15 to BOTH SIDES}\)
\(\mathsf{\dfrac{}{}x + 15 - 15 = 17 - 15}\)
\(\large\textbf{CANCEL out: 15 - 15 because it give you 0}\\\\\large\textbf{KEEP: 17 - 15 because it help solve for the x-value}\)
\(\large\textbf{NEW EQUATION: }\mathbf{\dfrac{2}{3}x = 2}\)
\(\large\textbf{SIMPLIFY IT!}\)
\(\large\textbf{MULTIPLY by }\mathbf{\dfrac{3}{2}}\large\textbf{ to BOTH SIDES}\)
\(\mathsf{\dfrac{3}{2}\times\dfrac{2}{3}x = \dfrac{3}{2}\times2}\)
\(\large\textbf{CANCEL out: }\mathbf{\dfrac{3}{2}\times\dfrac{2}{3}}\large\textbf{ because it give you 1}\\\\\large\textbf{KEEP: }\mathbf{2\times\dfrac{3}{2} }\large\textbf{ because it give you the answer for the x-value}\)
\(\large\textbf{NEW EQUATION: }\mathbf{x = \dfrac{3}{2}\times2}\)
\(\large\textbf{SIMPLIFY IT!}\)
\(\mathsf{x = 3}\)
\(\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 3}}}\huge\checkmark\)
\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)
~\(\frak{Amphitrite1040:)}\)
