Subtract the Expressions -1/4x-5 , 3/4x-9

Problem

(−1/4*x−5)−(3/4*x−9)

Solution

1. Set up the subtraction by placing the second expression in parentheses and applying the subtraction sign.

(−1/4*x−5)−(3/4*x−9)

2. Distribute the negative sign to both terms inside the second set of parentheses.

−1/4*x−5−3/4*x+9

3. Group the like terms containing x together and the constant terms together.

(−1/4*x−3/4*x)+(−5+9)

4. Combine the coefficients of the x terms.

−4/4*x+4

5. Simplify the fraction coefficient.

−1*x+4

6. Rewrite the expression in its simplest form.

−x+4

Final Answer

(−1/4*x−5)−(3/4*x−9)=−x+4

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