Question

How many solutions does this equation have?
6x + 2 = x + 2

Answer 1

Hey there!

`\bold{SUBTRACT\ x\ to\ BOTH\ SIDES}`

`\bold{6x+2-x=x+2-x}`

`\bold{Cancel \ out: x -x\ because\ it\ us\ 0}`

`\bold{Keep: 6x-x\ because\ that\ helps\ solve\ for\ x}`

`\bold{6x-x =5x}`

`\bold{New\ equation: 5x+2=2}`

`\bold{SUBTRACT\ 2\ to\ BOTH\ SIDES}`

`\bold{5x+2-2=2-2}`

`\bold{Cancel\ out: 2-2\ (on\ the\ LEFT\ SIDE)\ because\ that\ gives\ you\ 0 }`

`\bold{Keep: 2-2\ (on\ the\ RIGHT\ SIDE)\ because\ it\ helps\ us\ solve\ for\ x}`

`\bold{2-2=0}`

`\bold{New\ equation: 5x=0}`

`\bold{DIVIDE\ 5\ to\ BOTH\ SIDES}`

`\bold{(5x)/(5)=(0)/(5)}`

`\bold{Cancel\ out: (5)/(5) \ because\ it\ gives\ you\ 1}`

`\bold{Keep: (0)/(5)\ because\ it\ helps\ solve\ for\ x}`

`\bold{x=(0)/(5)}`

`\boxed{\boxed{\bold{Answer: \boxed{\bold{x=0}} }}}\huge\checkmark`

Good luck on your assignment and enjoy your day!

~
`\frak{LoveYourselfFirst:)}`