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Solve the following equation for \( x \). Express your answer in the simplest form. \[ 8(3 x+1)=8(-3 x-1) \] Answer Attempt 1 out of 2 The equation has Submit Answer

Ask by Wang Williams. in the United States
Feb 21,2025

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\( x = -\frac{1}{3} \)

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To solve the equation \( 8(3x + 1) = 8(-3x - 1) \), first, we can divide both sides by 8: \[ 3x + 1 = -3x - 1 \] Next, we can add \( 3x \) to both sides: \[ 3x + 3x + 1 = -1 \] This simplifies to: \[ 6x + 1 = -1 \] Now, subtract 1 from both sides: \[ 6x = -2 \] Finally, divide both sides by 6: \[ x = -\frac{1}{3} \] So, the solution in its simplest form is \( x = -\frac{1}{3} \).

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