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Solva for \( x \) \( 12=20 x-18 \)

Ask by Reid Bowman. in the United States
Jan 24,2025

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Answer

\( x = \frac{3}{2} \) or \( x = 1.5 \)

Solution

Vamos resolver a equação para \( x \): \[ 12 = 20x - 18 \] **Passo 1:** Adicione 18 em ambos os lados da equação para isolar o termo com \( x \): \[ 12 + 18 = 20x - 18 + 18 \] \[ 30 = 20x \] **Passo 2:** Divida ambos os lados por 20 para encontrar o valor de \( x \): \[ \frac{30}{20} = x \] \[ x = \frac{3}{2} \quad \text{ou} \quad x = 1{,}5 \] **Resposta:** \[ x = \frac{3}{2} \quad \text{ou} \quad x = 1{,}5 \]

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To solve the equation \( 12 = 20x - 18 \), start by isolating the term with \( x \). You can do this by adding 18 to both sides, resulting in \( 12 + 18 = 20x \). Thus, \( 30 = 20x \). Now, divide both sides by 20 to find \( x \): \[ x = \frac{30}{20} = \frac{3}{2} = 1.5. \] And there you have it! The solution is \( x = 1.5 \). Try substituting \( x \) back into the original equation to verify your answer. A common mistake is overlooking the arithmetic—double-check your addition and subtraction! Always ensure you're working systematically to avoid any slip-ups along the way.

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