Simplifying 5t + 3t + 7t + 5 + 8 + 3t

Algebra can be a tricky subject, particularly when it comes to manipulating equations or understanding the implications of algebraic operations. Simplifying expressions is the process of reducing complex equations to a simpler form. In this article, we’ll be looking at how to simplify the expression 5t + 3t + 7t + 5 + 8 + 3t.

Step 1: Understanding What We’re Dealing With

The expression 5t + 3t + 7t + 5 + 8 + 3t is a combination of coefficients, variables and constants. The coefficients are the numbers (or fractions) that are multiplied by the variable, in this case 5, 3, and 7. The variable is the letter t, and the constants are the numbers 5 and 8.

Step 2: Combining Like Terms

In order to simplify the expression, we have to combine like terms, which are terms that have the same variable. Combining like terms means adding the coefficients in front of the variable. In this case, we have 5t, 3t, and 7t, so if we add them together we get 15t.

Step 3: Combining Constants

The next step is to combine the constants. This is done by simply adding the numbers together. We have 5 and 8, so when added together, we get 13.

Step 4: Combining the Results

The final step is to combine the results from Step 2 and Step 3. This is done by simply adding the two together to get 15t + 13. This is the simplified expression for 5t + 3t + 7t + 5 + 8 + 3t.



Algebraic expressions can be complicated and difficult to understand, but through careful manipulation and understanding, they can be simplified. In this article, we looked at the process of simplifying the expression 5t + 3t + 7t + 5 + 8 + 3t. By combining like terms and constants, we were able to simplify the expression to 15t + 13.