Jill solves the equation 3(x−5)+2x=0

3x+
Response area+2x=0
5x=
Response area

x=
Response area

a.5
b.-3
c.1
d.-15
e.-5
f.3
g.-1
h.15

1 answer

To solve the equation \( 3(x - 5) + 2x = 0 \), we can follow these steps:

  1. Distribute the 3: \[ 3x - 15 + 2x = 0 \]

  2. Combine the \( x \) terms: \[ 5x - 15 = 0 \]

  3. Add 15 to both sides: \[ 5x = 15 \]

  4. Divide both sides by 5: \[ x = 3 \]

So, the solution to the equation is: \[ \text{Response area: } 3 \]

Choices:

  • a. 5
  • b. -3
  • c. 1
  • d. -15
  • e. -5
  • f. 3 (This is the correct answer)
  • g. -1
  • h. 15