Question

The value of 3x+2 is 9 plus twice the value of x+5. What is x?

Answer 1

17

Explanation:

3x+2 = 9 + 2(x+5)

3x + 2 = 9 + 2x + 10

3x + 2 = 2x + 19

x = 17

Answer 2

`\huge\boxed{x=17}`

Explanation:

`3x+2=9+2(x+5)\qquad\text{use the distributive property}\\3x+2=9+(2)(x)+(2)(5)\\3x+2=9+2x+10\\3x+2=2x+19\qquad\text{subtract 2 from both sides}\\3x+2-2=2x+19-2\\3x=2x+17\qquad\text{subtract}\ 2x\ \text{from both sides}\\3x-2x=2x-2x+17\\x=17`