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11 votes
11 votes
Solve the equation 3(x + 4.5) = 36.

User Karup
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2 Answers

21 votes
21 votes
Solution: 7.5x

Explanation: start off by distributing by multiplying 3 by the variable and decimal in the parentheses (x + 4.5) to end up with 3x + 13.5 = 36. Subtract 13.5 from both sides so 13.5-13.5 and 36-13.5 which gets you 3x = 22.5. Finally, divide both sides by the same factor so 3x divided by 3 and 22.5 divided by 3 which leads to your solution after simplifying x = 7.5x.
User Lmcarreiro
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3.0k points
18 votes
18 votes

Given Equation :

  • 3(x + 4.5) = 36

To Find :

  • The value of x

Using distribute property :


\qquad \dashrightarrow \sf \: 3(x) + 3(4.5) = 36


\qquad \dashrightarrow \sf \: 3x + 13.5 = 36

Subtracting 13.5 from both sides :


{ \qquad \dashrightarrow \sf \: 3x + 13.5 - 13.5= 36 - 13.5}


\qquad \dashrightarrow \sf \: 3x = 36 - 13.5


\qquad \dashrightarrow \sf \: 3x = 22.5

Dividing both sides by 3 :


\qquad \dashrightarrow \sf \: (3x)/(3) = (22.5)/(3)


\qquad \dashrightarrow \bf \: x = 7.5

User Dimitar Mazhlekov
by
3.0k points