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Solve the equation 3(x- 4) = 5​

User Shayelk
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2 Answers

1 vote

Answer:

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

User Oyeraghib
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7.4k points
3 votes


\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:)}

User David Schmitt
by
7.9k points

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