[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2}{5}x-7=11}[/tex]
[tex]\large\textsf{ADD 7 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2}{5}x -7+7=11+7}[/tex]
[tex]\large\textsf{CANCEL out: -7 + 7 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 11 + 7 because it helps you solve for your x-value}[/tex]
[tex]\mathsf{11 + 7 = 18}[/tex]
[tex]\large\text{New EQUATION: }\mathsf{\dfrac{2}{5}x = 18}[/tex]
[tex]\large\textsf{MULTIPLY }\mathsf{\dfrac{5}{2}}\large\textsf{ to BOTH SIDES }[/tex]
[tex]\mathsf{\dfrac{2}{5}x \times \dfrac{5}{2}=\dfrac{5}{2}\times18}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{2}\times\dfrac{2}{5}}\large\textsf{ because it gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{5}{2}\times 18}\large\textsf{ because it solves for x}[/tex]
[tex]\large\textsf{New EQUATION: }\mathsf{x =18\times\dfrac{5}{2}}[/tex]
[tex]\mathsf{18\times\dfrac{5}{2}=x}[/tex]
[tex]\mathsf{18\times\dfrac{5}{2}=\bf 45}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Option J. 45}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
