QuestionAugust 11, 2025

Solve the equation below. Leave your answer as a reduced fraction or an integer. -8x+6(-2x-9)=-6 Answer: x = x=square

Solve the equation below. Leave your answer as a reduced fraction or an integer. -8x+6(-2x-9)=-6 Answer: x = x=square
Solve the equation below. Leave your answer as a reduced fraction or an integer.
-8x+6(-2x-9)=-6
Answer: x = x=square

Solution
4.1(280 votes)

Answer

x = -\frac{12}{5} Explanation 1. Distribute the 6 Apply distribution: 6(-2x - 9) = -12x - 54. 2. Simplify the equation Combine like terms: -8x - 12x - 54 = -6 becomes -20x - 54 = -6. 3. Isolate the variable term Add 54 to both sides: -20x = 48. 4. Solve for x Divide by -20: x = \frac{48}{-20} = -\frac{12}{5}.

Explanation

1. Distribute the 6<br /> Apply distribution: $6(-2x - 9) = -12x - 54$.<br />2. Simplify the equation<br /> Combine like terms: $-8x - 12x - 54 = -6$ becomes $-20x - 54 = -6$.<br />3. Isolate the variable term<br /> Add 54 to both sides: $-20x = 48$.<br />4. Solve for x<br /> Divide by -20: $x = \frac{48}{-20} = -\frac{12}{5}$.
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