(8x-3)-2(3x+1)

less than a minute read Jun 16, 2024
(8x-3)-2(3x+1)

Simplifying the Expression: (8x - 3) - 2(3x + 1)

This article will walk you through the process of simplifying the algebraic expression (8x - 3) - 2(3x + 1).

Step 1: Distribute

First, we need to distribute the -2 to the terms inside the parentheses:

-2(3x + 1) = -6x - 2

This gives us the new expression: (8x - 3) - 6x - 2

Step 2: Combine Like Terms

Now, we can combine the terms with 'x' and the constant terms separately:

  • x terms: 8x - 6x = 2x
  • Constant terms: -3 - 2 = -5

Step 3: Write the Simplified Expression

Finally, we combine the simplified terms:

(8x - 3) - 2(3x + 1) = 2x - 5

Therefore, the simplified form of the expression (8x - 3) - 2(3x + 1) is 2x - 5.

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