Question

write this expression with the fewest\
$10x - 5 + 3x - 2$

Explanation:

Step1: Combine like terms (x terms)

To combine the \( x \)-terms, we add the coefficients of \( 10x \) and \( 3x \). The coefficient of \( 10x \) is \( 10 \) and the coefficient of \( 3x \) is \( 3 \). So, \( 10x + 3x = (10 + 3)x = 13x \).

Step2: Combine like terms (constant terms)

Next, we combine the constant terms \( -5 \) and \( -2 \). When we add \( -5 \) and \( -2 \), we get \( -5 - 2 = -7 \).

Step3: Write the simplified expression

Now, we put the combined \( x \)-term and the combined constant term together. So the simplified expression is \( 13x - 7 \).

Answer:

\( 13x - 7 \)