[tex]\text{Hey there!}[/tex]
[tex]\bf{3(4x + 1) - (5x + 7)}[/tex]
[tex]\text{FIRST: distribute the NEGATIVE sign}[/tex][tex]\text{(On the RIGHT side of the problem/equation)}[/tex]
[tex]\bf{-1 (5x + 7)}[/tex]
[tex]\bf{-1(5x) + -1(7)}[/tex]
[tex]\bf{-1(5x) = -5x}[/tex]
[tex]\bf{-1(7) = -7}[/tex]
[tex]\bf{\underline{= -5x - 7}}[/tex]
[tex]\text{SECOND: distribute the LEFT side of the problem/equation}[/tex]
[tex]\bf{3(4x+1)}[/tex]
[tex]\bf{3(4x) + 3(1)}[/tex]
[tex]\bf{3(4x) = 12x}[/tex]
[tex]\bf{3(1) = 3}[/tex]
[tex]\bf{\underline{12x+3}}[/tex]
[tex]\text{THIRD: make the new equation}[/tex]
[tex]\text{Equation becomes: \bf{12x + 3 - 5x - 7}}[/tex]
[tex]\text{FOURTH: COMBINE your like terms}[/tex]
[tex]\bf{(12x - 5x) + (3 - 7)}[/tex]
[tex]\bf{12x - 5x = 7x}[/tex]
[tex]\bf{3 - 7 = -4}[/tex]
[tex]\text{ANSWER}[/tex]
[tex]\boxed{\text{Thus, your answer is: \boxed{\huge\text{\bf7x - 4}}}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
