Question

Question 7 of 10

What is the solution to this equation?
3(4x+3) = 2x - 5(3 - x) + 2
4
O A. x=-
15
10
O B. x=-22
O
5
O x-
O c. x - 22
15
O x
O D. x = -1
5

Answer 1

• Option B

Explanation:

Given Equation :

`\qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2`

Using distribute property:

`\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2`

Adding the like terms we get :

`\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2`

`\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13`

Transposing the variables on the right side and constant terms on the left side :

`\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9`

`\qquad \sf \dashrightarrow \: 5x = - 22`

Dividing both sides by 5 :

`\qquad \sf \dashrightarrow \: (5x)/(5) = ( - 22)/(5)`

`\qquad \bf \dashrightarrow \: x = ( - 22)/(5)`