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