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14. \( 5 x+9=3(x-5)+14 \)

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Nov 21,2024

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La solución de la ecuación es \(x=-5\).

Solución

Solve the equation \( 5x+9=3(x-5)+14 \). Solve the equation by following steps: - step0: Solve for \(x\): \(5x+9=3\left(x-5\right)+14\) - step1: Move the expression to the left side: \(5x+9-\left(3\left(x-5\right)+14\right)=0\) - step2: Calculate: \(5x-5-3\left(x-5\right)=0\) - step3: Calculate: \(2x+10=0\) - step4: Move the constant to the right side: \(2x=0-10\) - step5: Remove 0: \(2x=-10\) - step6: Divide both sides: \(\frac{2x}{2}=\frac{-10}{2}\) - step7: Divide the numbers: \(x=-5\) La solución de la ecuación \(5x+9=3(x-5)+14\) es \(x=-5\).

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To solve the equation \( 5x + 9 = 3(x - 5) + 14 \), let's start by distributing on the right side: \[ 5x + 9 = 3x - 15 + 14 \] Simplifying the right side gives us: \[ 5x + 9 = 3x - 1 \] Now, let's isolate \( x \) by moving the \( 3x \) over to the left side and the 9 to the right: \[ 5x - 3x = -1 - 9 \] This simplifies to: \[ 2x = -10 \] Next, we divide both sides by 2: \[ x = -5 \] So, the solution to the equation is \( x = -5 \). Always double-check your answer by plugging \( x \) back into the original equation to ensure both sides are equal!

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