Question

SIMPLIFYING EXPRESSIONS Simplify the expression by combining like terms. $$ 8 b+5-3 b $$

Short answer

The simplified expression is \(5 b + 5\).

Step-by-step solution

Identify the Like Terms

In the given expression \(8 b+5-3 b\), the like terms are \(8 b\) and \(-3 b\). They have been identified as like terms because both contain the variable 'b' with the power of 1.

Combine the Like Terms

When we combine the like terms together, we add or subtract their coefficients while keeping the variable unchanged. So, \(8 b - 3 b = 5 b\)

Write the Final Expression

After combining the like terms, you write down the final simplified expression. So, the 5 from the beginning of the equation remains and the simplified expression is \(5 b + 5\).