Solve for x: 2x + 7 = 19

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Step-by-Step Solution

Step 1: Isolate the term with x

To isolate the term containing $x$ , we need to eliminate the constant term $7$ from the left side of the equation. We do this by subtracting $7$ from both sides of the equation, maintaining its balance.

Step 2: Simplify the equation

After subtracting $7$ from both sides, the equation simplifies to $2x = 12$ . Now, the term with $x$ is isolated on one side.

Step 3: Solve for x

To find the value of $x$ , we need to undo the multiplication by $2$ . We do this by dividing both sides of the equation by $2$ . This will give us the value of $x$ .

Step 4: Final Answer

Dividing $12$ by $2$ gives us $6$ . Therefore, the solution to the equation $2x + 7 = 19$ is $x = 6$ .