Algebra Practice Test

To determine the total x coefficient in the expression 5(x - 2) + 3x, we need to simplify the expression step by step.

First, distribute the 5 across the terms in the parentheses:

5(x - 2) translates to 5*x - 5*2, which simplifies to 5x - 10.

Now, we incorporate the 3x from the original expression:

5x - 10 + 3x.

Next, combine like terms, specifically the x terms:

5x + 3x equals 8x.

The constant term, -10, does not affect the x coefficient but will remain in the simplified expression. The total coefficient of x, which is what we want to find, is therefore 8.

Thus, the total x coefficient after simplifying the expression is 8.