We are given the equation x plus 7 equals 25. Our goal is to find the value of x that makes this equation true. In this equation, x is the unknown value we need to determine, while 7 and 25 are known numbers. The equal sign tells us that both sides of the equation have the same value.
To solve for x, we need to isolate it by getting x by itself on one side of the equation. Since we have plus 7 on the left side, we use the inverse operation, which is minus 7. To maintain equality, we must perform the same operation on both sides of the equation. This ensures that the equation remains balanced.
Now let's work through the solution step by step. We start with x plus 7 equals 25. To isolate x, we subtract 7 from both sides, giving us x plus 7 minus 7 equals 25 minus 7. Simplifying the left side, we get x equals 25 minus 7. Finally, calculating the right side, we find that x equals 18.
To verify our solution, we substitute x equals 18 back into the original equation. This gives us 18 plus 7 equals 25. Calculating the left side, we get 25 equals 25. Since both sides are equal, our solution x equals 18 is correct. Verification is an important step to ensure our answer is accurate.
Let's visualize our equation using a number line and a balance scale. On the number line, we start at x equals 18 and add 7 to reach 25. This shows that 18 plus 7 equals 25. The balance scale representation shows x plus 7 on the left side and 25 on the right side. When x equals 18, both sides balance, confirming our solution is correct.
Let's practice with similar equations using the same subtraction method. For x plus 5 equals 12, we subtract 5 from both sides to get x equals 7. For x plus 9 equals 20, we subtract 9 from both sides to get x equals 11. For x plus 3 equals 15, we subtract 3 from both sides to get x equals 12. In each case, we isolate x by subtracting the constant from both sides, demonstrating the consistency of this method.