Mathematics ACT Aspire Practice Test 2025 – Complete Study Resource

Question: 1 / 400

What is the simplified form of 5(x + 2) - 3(x - 4)?

x + 14

2x + 26

To find the simplified form of the expression $ 5(x + 2) - 3(x - 4) $, we start by distributing the constants across the terms in the parentheses.

First, distribute the 5 in the term $ 5(x + 2) $:

5(x) + 5(2) = 5x + 10

Next, distribute the -3 in the term $ -3(x - 4) $:

-3(x) + -3(-4) = -3x + 12

Now, combine these results:

5x + 10 - 3x + 12

Combine like terms:

- Combine $ 5x $ and $ -3x $:

5x - 3x = 2x

- Combine the constants $ 10 $ and $ 12 $:

10 + 12 = 22

Putting it all together, the simplified form becomes:

2x + 22

There seems to be a misunderstanding with the answer choice indicated. The correct simplified expression from the original problem is \( 2x +

x + 10

2x + 18

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