Question

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

Answer 1

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.

Answer 2

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 :

$\qquad \dashrightarrow \sf \: \dfrac{3x}{3} = \dfrac{22.5}{3}$

$\qquad \dashrightarrow \bf \: x = 7.5$