[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{4(x - 6) + 10 = 6}[/tex]
[tex]\textsf{Distribute}[/tex]
[tex]\textsf{4(x) + 4(-6) + 10 = 6}[/tex]
[tex]\textsf{4x - 24 + 10 = 6}[/tex]
[tex]\textsf{COMBINE the LIKE TERMS}[/tex]
[tex]\textsf{(4x) + (-24 + 10) = 6}[/tex]
[tex]\textsf{-24 + 10 = -14}[/tex]
[tex]\textsf{4x - 14 = 6}[/tex]
[tex]\textsf{ADD 14 from BOTH SIDES}[/tex]
[tex]\textsf{4x - 14 + 14 = 6 + 14}[/tex]
[tex]\textsf{CANCEL out: -14 + 14 because that gives you 0}[/tex]
[tex]\textsf{KEEP: 6 + 14 because that helps us solve for x}[/tex]
[tex]\underline{\textsf{6 + 14 = 20}}[/tex]
[tex]\textsf{New equation: 4x = 20}[/tex]
[tex]\textsf{DIVIDE 4 from BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}=\dfrac{20}{4}}[/tex]
[tex]\textsf{CANCEL out}[/tex]: [tex]\mathsf{\dfrac{4}{4}}[/tex] [tex]\textsf{because that gives you 1}[/tex]
[tex]\textsf{KEEP}[/tex]: [tex]\mathsf{\dfrac{20}{4}}[/tex] [tex]\textsf{because that solves and gives you x}[/tex]
[tex]\mathsf{TEMPORARY\ EQUATION: x = \dfrac{20}{4}}[/tex]
[tex]\mathsf{\dfrac{20}{5}=5}\\\\\\\mathsf{20\div4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
