Respuesta :

[tex]\text{Hey there!}[/tex]

[tex]\mathsf{Step^1}[/tex]: [tex]\text{First, you have to SIMPLIFY both sides of your equation!}[/tex]

[tex]\mathsf{3x-\dfrac{4}{8}=x+\dfrac{2}{3}}[/tex]

[tex]\rightarrow\mathsf{3x-\dfrac{-1}{2}=x+\dfrac{2}{3}}[/tex]

[tex]\mathsf{Step^2}[/tex]:

[tex]\text{SUBTRACT by the value of x on your sides!}[/tex]

[tex]\mathsf{3x - \dfrac{1}{2}- x=x+\dfrac{2}{3}-x}[/tex]

[tex]\mathsf{Step^{2.5}^}[/tex]:  [tex]\uparrow\text{If you SOLVED that above CORRECTLY you should have:}[/tex] [tex]\mathsf{2x-\dfrac{-1}{2}=\dfrac{2}{3}}[/tex]

[tex]\mathsf{Step^3}[/tex]:

[tex]\text{ADD by }\mathsf{\dfrac{1}{2}}\text{ on your sides!}[/tex]

[tex]\mathsf{2x-\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{2}{3}+\dfrac{1}{2}}[/tex]

[tex]\mathsf{Step^{3.5}}[/tex]:  [tex]\uparrow\text{If you SOLVED that portion CORRECTLY, you should have:}[/tex] [tex]\mathsf{2x=\dfrac{7}{6}}[/tex]

[tex]\mathsf{Step^4}[/tex]:

[tex]\text{Last step of solving for x. DIVIDE both of your sides by 2}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{\dfrac{7}{6}}{2}}[/tex]

[tex]\mathsf{Step^{4.5}}[/tex]: [tex]\uparrow\text{Once again if you solve the one above correctly, you should have x}[/tex]

[tex]\boxed{\boxed{\mathsf{Thus\ your\ answer\ is: \boxed{\mathsf{x= \dfrac{7}{12}}}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~ [tex]\huge\dag[/tex][tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]