Write each of the following statements in equation:
Thrice a number x decreased by 5 is equal to 27.

Answer

To convert the statement "Thrice a number x decreased by 5 is equal to 27" into an equation, we can follow these steps:

### Step 1: Identify "Thrice a number x"
- The phrase "thrice a number x" means we need to multiply the number x by 3.
- Therefore, this part can be expressed as \(3x\).

### Step 2: Identify "decreased by 5"
- The phrase "decreased by 5" means we need to subtract 5 from the previous result.
- So, we take \(3x\) and subtract 5, which gives us \(3x - 5\).

### Step 3: Identify "is equal to 27"
- The phrase "is equal to 27" indicates that the expression we have formed is equal to 27.
- We can express this as \(= 27\).

### Step 4: Combine all parts into an equation
- Now, we can combine all the parts we have identified:
\[ 3x - 5 = 27 \]

### Final Equation
Thus, the equation representing the statement "Thrice a number x decreased by 5 is equal to 27" is:
\[ 3x - 5 = 27 \]

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