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How to solve 4(5-3x)

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Final answer:

To solve 4(5-3x), apply the distributive property by multiplying 4 with each term inside the parentheses resulting in 20 - 12x.

Step-by-step explanation:

To solve the expression 4(5-3x), we need to apply the distributive property. This property states that we can multiply the number outside the parentheses by each term inside the parentheses. Let's go through the steps:

  1. Multiply 4 by the term 5, which gives us 4 × 5 = 20.
  2. Multiply 4 by the term -3x, which gives us 4 × -3x = -12x.
  3. Combine the products from steps 1 and 2 to get the final expression 20 - 12x.

Therefore, 4(5-3x) simplifies to 20 - 12x. When solving such expressions, it's important to carefully keep track of the signs and execute the operations correctly according to the order of operations.