[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3(x + 4) = 5x - 12}\\\rightarrow\large\textsf{ 3(x) + 3(4) = 5x - 12}\\\rightarrow\large\textsf{3x + 12 = 5x - 12}\\\large\text{SUBTRACT 5x to BOTH SIDES}\\\large\textsf{3x + 12x - 5x = 5x - 12 - 5x}\\\large\text{CANCEL out: 5 - 5 because that gives you 0}\\\large\text{SIMPLIFY ABOVE}\uparrow\\\large\text{SUBTRACT 12 to BOTH SIDES}\\\large\textsf{-2x + 12 - 12 = -12 - 12}\\\large\text{SOLVE}\uparrow\\\large\text{\large\text{NEW EQUATION: \textsf{-2x = -12}}}[/tex]
[tex]\large\text{DIVIDE -2 to BOTH SIDES}\\\mathsf{\dfrac{-2x}{-2} = \dfrac{-24}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-24}{-2}}\large\text{ because it gives you the answer of the x-value}\\\large\text{NEW EQUATION: x = }\rm{\dfrac{-24}{-2}}\\\large\text{SOLVE }\uparrow\\\large\textsf{x = 12}\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{x = 12}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
