Their sum is \(x + (x+1) + (x+2) = 3x + 3 = 72\).

["## Solve the Equation: ( x + (x + 1) + (x + 2) = 72 )", "When tackling math problems, breaking down equations step-by-step is key to finding the correct solution—especially when summing consecutive expressions. In this article, we’ll solve the equation:", "[\nx + (x + 1) + (x + 2) = 72\n]", "### Step 1: Combine Like Terms\nFirst, simplify the left-hand side by combining like terms. The equation includes three expressions:", "- ( x )\n- ( x + 1 )\n- ( x + 2 )", "Adding these together gives:", "[\nx + (x + 1) + (x + 2) = 3x + 3\n]", "Now, rewrite the original equation with this simplified form:", "[\n3x + 3 = 72\n]", "### Step 2: Isolate the Variable\nNext, isolate ( x ) by eliminating the constant term on the left. Subtract 3 from both sides:", "[\n3x + 3 - 3 = 72 - 3\n]", "Simplifying:", "[\n3x = 69\n]", "### Step 3: Solve for ( x )\nNow divide both sides by 3 to solve for ( x ):", "[\nx = \frac{69}{3} = 23\n]", "### Step 4: Check the Solution\nIt’s always wise to verify your answer by plugging it back into the original equation:", "[\nx + (x + 1) + (x + 2) = 23 + (23 + 1) + (23 + 2) = 23 + 24 + 25 = 72\n]", "The left-hand side equals 72, which matches the right-hand side—so the solution ( x = 23 ) is correct.", "### Conclusion\nSolving equations like ( x + (x+1) + (x+2) = 72 ) involves combining terms, isolating the variable, and checking your work. In this case, the value of ( x ) is 23, and the solution demonstrates how even simple sums can lead to meaningful results.", "Whether you’re tackling algebra for school or personal improvement, mastering step-by-step problem-solving is essential. Keep practicing—each equation brings you one step closer to mastery!"]