QuestionAugust 24, 2025

1. Solve the following equation: 7x-3=(1)/(2)x+23

1. Solve the following equation: 7x-3=(1)/(2)x+23
1. Solve the following equation: 7x-3=(1)/(2)x+23

Solution
4.4(253 votes)

Answer

x = 4 Explanation 1. Eliminate the fraction Multiply every term by 2 to eliminate the fraction: 2(7x - 3) = 2(\frac{1}{2}x + 23), resulting in 14x - 6 = x + 46. 2. Isolate variable terms Subtract x from both sides: 14x - x - 6 = 46, simplifying to 13x - 6 = 46. 3. Solve for x Add 6 to both sides: 13x = 52. Then divide by 13: x = \frac{52}{13}.

Explanation

1. Eliminate the fraction<br /> Multiply every term by 2 to eliminate the fraction: $2(7x - 3) = 2(\frac{1}{2}x + 23)$, resulting in $14x - 6 = x + 46$.<br /><br />2. Isolate variable terms<br /> Subtract $x$ from both sides: $14x - x - 6 = 46$, simplifying to $13x - 6 = 46$.<br /><br />3. Solve for x<br /> Add 6 to both sides: $13x = 52$. Then divide by 13: $x = \frac{52}{13}$.
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