identify the solution of the equation above

Question

 identify the solution 2x+4=3(x-8)

Answer 1

"Identify the solution" is just a fancy way of saying "solve for x."

2x + 4 = 3(x - 8)

Distribute the 3 through the parentheses

2x + 4 = 3x - 24

Now let's move the constants to the right hand side of the equals sign. Subtract 4 from both sides.

2x = 3x - 28

Move the x terms to the left side of the equation. Subtract 3x from both sides.

-x = -28

Multiply by -1 to get x.

x = 28

 

Check by plugging in 28 for x in the original equation. You'll get 60 = 60, which is true, so your answer is correct.