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Solve the following equation, and check the solution. \[ 5 x-2=6 x \]

Ask by Ray Johnson. in the United States
Feb 20,2025

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Answer

\( x = -2 \)

Solution

Solve the equation \( 5x-2=6x \). Solve the equation by following steps: - step0: Solve for \(x\): \(5x-2=6x\) - step1: Move the variable to the left side: \(5x-2-6x=0\) - step2: Subtract the terms: \(-x-2=0\) - step3: Move the constant to the right side: \(-x=0+2\) - step4: Remove 0: \(-x=2\) - step5: Change the signs: \(x=-2\) The solution to the equation \(5x-2=6x\) is \(x=-2\).

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Bonus Knowledge

To solve the equation \( 5x - 2 = 6x \), we first want to isolate the variable \( x \). 1. Subtract \( 5x \) from both sides: \[ -2 = 6x - 5x \] which simplifies to: \[ -2 = x \] Now, we have found \( x = -2 \). Next, let's check this solution by substituting \( x \) back into the original equation: For \( x = -2 \): \[ 5(-2) - 2 = 6(-2) \] Calculating both sides: \[ -10 - 2 = -12 \quad \text{and} \quad -12 = -12 \] Since both sides are equal, the solution \( x = -2 \) is correct!

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