Question

Solve the equation 3(x- 4) = 5​

Answer 1

Explanation:

3(x-4)=5 use distributive property

3x-12=5 add 12 to both sides

3x=17 isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

Answer 2

`\huge\text{Hey there!}`

`\mathsf{3(x- 4) = 5}`

`\large\textsf{DISTRIBUTE 3 within your parentheses}`

`\mathsf{3(x) + 3(-4) = 5}`

`\mathsf{3(x) = \bf 3x}`

`\mathsf{3(-4)=\bf -12}`

`\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}`

`\mathsf{3x - 12 = 5}`

`\large\textsf{ADD 12 to BOTH SIDES}`

`\mathsf{3x - 12 + 12 = 5+12}`

`\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}`

`\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}`

`\mathsf{5+12=\bf 17}`

`\large\text{NEW EQUATION: \textsf{3x = 17}}`

`\mathsf{3x = 17}`

`\large\textsf{DIVIDE 3 to BOTH SIDES}`

`\mathsf{(3x)/(3)=(17)/(3)}`

`\large\text{CANCEL out: }\mathsf{(3)/(3)}\large\text{ because that gives you the value of \textsf{1}}`

`\large\text{KEEP: }\mathsf{(17)/(3)}\large\text{ because it gives you the \textsf{x value}}`

`\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf (17)/(3)}}}\huge\checkmark`

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

~
`\frak{Amphitrite1040:)}`