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Chapter 1: Problem 73

Simplify each algebraic expression. $$3 x-9 x$$

Short Answer

Expert verified
The simplified form of the algebraic expression \(3x - 9x\) is \(12x\).

Step by step solution

01

Identify Like Terms

The given expression contains two like terms, \(3x\) and \(-9x\), which share the same variable \(x\). Like terms are terms that have the same variable to the same power.
02

Combine Like Terms

Next, subtract the coefficients (the numerical parts) of these like terms using the operation given in the expression. The operation between \(3x\) and \(-9x\) is subtraction. Therefore, subtract the coefficient of \(3x\) (which is 3) from the coefficient of \(-9x\) (which is -9), to get \(3 - (-9) = 3 + 9 = 12.\)
03

Write the Simplified expression

Apply the result to the variable \(x\) to get the resulting expression. Thus, \(3x - 9x\) simplifies to \(12x\).

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