Solve for x: 3x + 5 = 26

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Step-by-Step Solution

Step 1: Isolate the term with x

To solve for $x$ , our first step is to isolate the term containing $x$ . We do this by subtracting 5 from both sides of the equation. This operation ensures that the equation remains balanced, a fundamental principle in algebra.

Step 2: Simplify the equation

After subtracting 5 from both sides, the equation simplifies to $3x = 21$ . The constant term on the left side is now eliminated, bringing us closer to finding the value of $x$ .

Step 3: Solve for x

Now that we have $3x = 21$ , we need to find the value of a single $x$ . We achieve this by dividing both sides of the equation by 3. This is a standard procedure for solving linear equations.

Step 4: Calculate the final value

Performing the division, we find that $x = 7$ . This is the final value that satisfies the original equation $3x + 5 = 26$ .