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Solve the equation below and check the solution. \( 6(x+1)-(4 x+6)=-10 \)

Ask by Kelley Graham. in the United States
Feb 21,2025

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\( x = -5 \)

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Let's solve the equation step-by-step: 1. Distribute on the left side: \( 6(x + 1) - (4x + 6) = -10 \) becomes \( 6x + 6 - 4x - 6 = -10 \). 2. Combine like terms: \( (6x - 4x) + (6 - 6) = -10 \), which simplifies to \( 2x = -10 \). 3. Solve for \( x \): \( x = -10 / 2 \), hence \( x = -5 \). Next, we check the solution by substituting \( x = -5 \) back into the original equation: Left side: \( 6(-5 + 1) - (4(-5) + 6) \) \( = 6(-4) - (-20 + 6) \) \( = -24 - (-14) \) \( = -24 + 14 \) \( = -10 \). Since both sides equal \(-10\), our solution \( x = -5 \) is indeed correct!

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