Question

Please solve!! 4 (x-6) + 10 = 6

Answer 1

4(x-6)+10=6. 4(x-6)=-4. x-6=-1. x=5

Answer 2

`\huge\text{Hey there!}`

`\textsf{4(x - 6) + 10 = 6}`

`\textsf{Distribute}`

`\textsf{4(x) + 4(-6) + 10 = 6}`

`\textsf{4x - 24 + 10 = 6}`

`\textsf{COMBINE the LIKE TERMS}`

`\textsf{(4x) + (-24 + 10) = 6}`

`\textsf{-24 + 10 = -14}`

`\textsf{4x - 14 = 6}`

`\textsf{ADD 14 from BOTH SIDES}`

`\textsf{4x - 14 + 14 = 6 + 14}`

`\textsf{CANCEL out: -14 + 14 because that gives you 0}`

`\textsf{KEEP: 6 + 14 because that helps us solve for x}`

`\underline{\textsf{6 + 14 = 20}}`

`\textsf{New equation: 4x = 20}`

`\textsf{DIVIDE 4 from BOTH SIDES}`

`\mathsf{(4x)/(4)=(20)/(4)}`

`\textsf{CANCEL out}`:
`\mathsf{(4)/(4)}`
`\textsf{because that gives you 1}`

`\textsf{KEEP}`:
`\mathsf{(20)/(4)}`
`\textsf{because that solves and gives you x}`

`\mathsf{TEMPORARY\ EQUATION: x = (20)/(4)}`

`\mathsf{(20)/(5)=5}\\\\\\\mathsf{20/4 = 5}\\\\\\\textsf{\bf x = 5}\large\checkmark`

`\boxed{\boxed{\large\textsf{Answer: \underline{\bf x = 5}}}}\huge\checkmark`

`\large\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`