(x+10)+x+9 And 2(x+7)+5 Are Equivalent

Jasonbradley

less than a minute read

·

Jun 16, 2024

38

Share

Are (x+10)+x+9 and 2(x+7)+5 equivalent?

Let's explore whether the expressions (x+10)+x+9 and 2(x+7)+5 are equivalent. To determine equivalence, we need to simplify both expressions and see if they result in the same outcome.

Simplifying the Expressions

Expression 1: (x+10)+x+9

1. Remove parentheses: x + 10 + x + 9
2. Combine like terms: 2x + 19

Expression 2: 2(x+7)+5

1. Distribute the 2: 2x + 14 + 5
2. Combine like terms: 2x + 19

The Verdict

After simplification, we see that both expressions result in 2x + 19.

Therefore, (x+10)+x+9 and 2(x+7)+5 are indeed equivalent expressions.

This means that no matter what value you substitute for 'x', both expressions will produce the same result.