Final answer:
To solve the equation 2x + 5 + x = 9/2, combine like terms, simplify, and isolate the variable x. The solution is x = -1/6. Check this solution by substituting it back into the original equation and confirming that both sides are equal.
Step-by-step explanation:
To solve the equation 2x + 5 + x = 9/2, we need to simplify and isolate the variable x.
Step 1: Combine like terms on the left side of the equation: 2x + x = 9/2 - 5.
Step 2: Simplify: 3x = 9/2 - 10/2.
Step 3: Simplify further: 3x = -1/2.
Step 4: Divide both sides by 3 to solve for x: x = -1/6.
To check this solution, substitute x = -1/6 back into the original equation and see if both sides are equal:
2(-1/6) + 5 + (-1/6) = 9/2.
Left side: -2/6 + 30/6 - 1/6 = 27/6 = 9/2.
Right side: 9/2.
Since both sides are equal, the solution x = -1/6 is correct.