Question

Add the linear expressions: (2x⋅5+3x)+(2x⋅2).
What is the sum?

Answer 1

To find the sum of the given linear expressions, simplify and combine like terms to get 17x as the resulting expression.

Step-by-step explanation:

To add the linear expressions (2x⋅5+3x)+(2x⋅2), we start by simplifying and combining like terms. Here's a step-by-step breakdown:

• First, multiply the coefficients inside the parentheses by each x: (2x×5)+(3x) becomes 10x + 3x.
• Then, multiply 2x by 2 in the second set of parentheses: (2x×2) becomes 4x.
• Add the resulting expressions together: 10x + 3x + 4x.
• Combine like terms by adding the coefficients of x: 10 + 3 + 4 = 17. Therefore, 10x + 3x + 4x becomes 17x.

The sum of the linear expressions is 17x.