Solve for x: 2x + 5 = 13 Algebra Equation

Published on July 24, 2026

Algebra

Learn how to solve the linear equation 2x + 5 = 13 for x by isolating the variable and performing simple arithmetic operations.

Question

Solve for x: 2x + 5 = 13

Answer

To solve the equation

for

, follow these steps:

Step 1: Isolate the term containing .
Subtract

from both sides of the equation to move the constant term to the right side:

Step 2: Solve for .
Divide both sides of the equation by

to isolate

Step 3: Verify the answer (Optional).
Substitute

back into the original equation:

Since

, the solution is correct.

Final Answer:

Theorems

• Addition Property of Equality

, then

. This means we can add the same number to both sides of an equation without changing the equality.

• Subtraction Property of Equality

, then

. This means we can subtract the same number from both sides of an equation without changing the equality.

• Division Property of Equality

and

, then

. This means we can divide both sides of an equation by the same non-zero number without changing the equality.

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