Question

3k(x+2)+2 = 5x+8
How do I solve for k while keeping x smaller then 3?

Answer 1

k=(5x+6)/(3x+6) and k<3/5

Explanation:

• 3k(x+2)+2 = 5x+8
• 3k(x+2)=5x+6
• 3k=(5x+6)/(x+2)
• k=(5x+6)/(3x+6)

it is solved for k

and considering the condition for x<3:

• 3k(x+2)+2 = 5x+8
• 3kx+6k=5x+6
• (5-3k)x=6k-6
• x= (6k-6)/(5-3k)
• x<3 ⇒ (6k-6)/(5-3k)<3 ⇒ 6k-6<15-9k ⇒ 15k<9 ⇒ k<9/15 ⇒ k<3/5

So,

k=(5x+6)/(3x+6) and k<3/5