Question:
Simplify: \( 3(2x-3) - 5x \)).
Simplify: \( 3(2x-3) - 5x \)).
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Always be careful with signs when distributing a negative number. For example, in the original problem, \( -5(x+1) \) becomes \( -5x - 5 \). A common error is to forget to distribute the negative to the second term.
Updated On: Oct 4, 2025
- x-9
- x-7
- -x-9
- -x-7
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
To simplify the expression, we need to use the distributive property to remove the parentheses and then combine like terms.
Step 2a: Apply the distributive property.
Multiply 3 by each term inside the first parenthesis.
\[ 3(2x-3) = 3 \times 2x - 3 \times 3 = 6x - 9 \] The expression becomes:
\[ (6x - 9) - 5x \] Step 2b: Combine like terms.
Group the terms with 'x' together.
\[ (6x - 5x) - 9 \] \[ x - 9 \] Step 3: Final Answer:
\( 3(2x-3) - 5x \), the simplified expression is \( x - 9 \).
To simplify the expression, we need to use the distributive property to remove the parentheses and then combine like terms.
Step 2a: Apply the distributive property.
Multiply 3 by each term inside the first parenthesis.
\[ 3(2x-3) = 3 \times 2x - 3 \times 3 = 6x - 9 \] The expression becomes:
\[ (6x - 9) - 5x \] Step 2b: Combine like terms.
Group the terms with 'x' together.
\[ (6x - 5x) - 9 \] \[ x - 9 \] Step 3: Final Answer:
\( 3(2x-3) - 5x \), the simplified expression is \( x - 9 \).
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