Question

Find the value of x:
15(3x+11) = 15(7-13)

Answer 1

`\sf x=-(17)/(3)`

Explanation:

Given: 15(3x + 11) = 15(7 - 13)

1. Divide both sides by 15:

`\sf (15(3x+11))/(15) = (15(7-13))/(15)\\`

`\sf 3x + 11 = 7 - 13`

2. Calculate the difference:

`\sf 3x + 11 = -6`

3. Subtract 11 from both sides:

`\sf 3x + 11 - 11 = -6 - 11`

`\sf{3x = -17}`

4. Divide both sides by 3 to isolate the variable (x):

`\sf (3x)/(3)=(-17)/(3)`

`\sf x=-(17)/(3)`