Q:

Solve 7x-4 = 5x+15 for x

Accepted Solution

A:
[tex]\bf{Hey\ there!}[/tex][tex]\bf{7x-4 = 5x+15}[/tex][tex]\bf{\underline{Subtract}\ 5x\ from\ \ on \ both\ of\ your\ sides!\downarrow}[/tex][tex]\bf{7x-4-5x=5x+15-5x}[/tex][tex]\bf{2x-4=15}[/tex][tex]\bf{\underline{Add}\ by\ 4\ on\ each\ of\ your\ sides!\downarrow}[/tex][tex]\bf{2x-4+4=15+4}[/tex][tex]\bf{Cancel:-4+4\ because\ it\ equals\ 0}[/tex][tex]\bf{Keep:15+4\ because\ it\ helps\  us\ solve\ for\ your\ answer}[/tex][tex]\bf{15+4=19}[/tex][tex]\bf{2x=19}[/tex][tex]\bf{\underline{Divide}\ by\ 2\ on\ your\ sides!\downarrow}[/tex][tex]\bf\frac{2x}{2}=\frac{19}{2}}[/tex][tex]\bf{Cancel:\frac{2x}{2}\ because\ that\ gives\ you\ 1}[/tex][tex]\bf{Keep:\frac{19}{2}\ because\ it\ gives\ you\ the\ the\ value\ of\ x}[/tex][tex]\boxed{\boxed{\bf{Answer:x=\frac{19}{2}}}}\checkmark[/tex][tex]\bf{Good\ luck\ on\ your\ assignment\ and\ enjoy\ your\ day!}[/tex][tex]\frak{LoveYourselfFirst:)}[/tex]