Simplify the expression: (5x - 3) + (2x + 8)
Understand the Problem
The question requires us to simplify the algebraic expression by combining like terms. We will add the 'x' terms together and then add the constant terms together.
Answer
$7x + 5$
Answer for screen readers
$7x + 5$
Steps to Solve
- Remove parentheses
Since we are adding the two expressions, we can remove the parentheses without changing any signs.
$5x - 3 + 2x + 8$
- Group like terms
Group the 'x' terms together and the constant terms together.
$5x + 2x - 3 + 8$
- Combine the 'x' terms
Add the coefficients of the 'x' terms.
$5x + 2x = (5+2)x = 7x$
- Combine the constant terms
Add the constant terms.
$-3 + 8 = 5$
- Write the simplified expression
Combine the simplified 'x' term and the constant term to get the final simplified expression.
$7x + 5$
$7x + 5$
More Information
The expression $(5x - 3) + (2x + 8)$ simplifies to $7x + 5$.
Tips
A common mistake is to forget to distribute the positive sign when removing the parentheses. In this case, since it's addition, the signs inside the second parentheses remains the same.
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