Simplifying the Expression: (3x-1) - 2.75(x+2)
This expression involves combining like terms and applying the distributive property. Here's a step-by-step guide to simplifying it:
1. Distribute the -2.75
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Begin by multiplying -2.75 with each term inside the parentheses:
- -2.75 * x = -2.75x
- -2.75 * 2 = -5.5
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Now, the expression becomes: (3x - 1) - 2.75x - 5.5
2. Combine like terms
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Identify terms with the same variable (x) and constant terms:
- x terms: 3x - 2.75x
- constant terms: -1 - 5.5
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Combine the x terms: 3x - 2.75x = 0.25x
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Combine the constant terms: -1 - 5.5 = -6.5
3. The Simplified Expression
The simplified form of the expression is: 0.25x - 6.5
Therefore, the answer to (3x-1) - 2.75(x+2) is 0.25x - 6.5