QuestionAugust 24, 2025

(4)/(13)(x-3)-(15)/(13)=-5

(4)/(13)(x-3)-(15)/(13)=-5
(4)/(13)(x-3)-(15)/(13)=-5

Solution
4.2(254 votes)

Answer

x = -\frac{19}{2} Explanation 1. Eliminate fractions Multiply the entire equation by 13 to eliminate fractions: 4(x-3) - 15 = -65. 2. Distribute and simplify Distribute 4: 4x - 12 - 15 = -65. Simplify: 4x - 27 = -65. 3. Isolate the variable term Add 27 to both sides: 4x = -38. 4. Solve for x Divide by 4: x = \frac{-38}{4} = -\frac{19}{2}.

Explanation

1. Eliminate fractions<br /> Multiply the entire equation by 13 to eliminate fractions: $4(x-3) - 15 = -65$.<br /><br />2. Distribute and simplify<br /> Distribute 4: $4x - 12 - 15 = -65$. Simplify: $4x - 27 = -65$.<br /><br />3. Isolate the variable term<br /> Add 27 to both sides: $4x = -38$.<br /><br />4. Solve for x<br /> Divide by 4: $x = \frac{-38}{4} = -\frac{19}{2}$.
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