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Solve for \( x \) \[ 3(3 x-8)=21 \] Simplify your answer as much

Ask by Lambert Campos. in the United States
Feb 20,2025

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Answer

\( x=5 \)

Solution

Solve the equation \( 3(3x-8)=21 \). Solve the equation by following steps: - step0: Solve for \(x\): \(3\left(3x-8\right)=21\) - step1: Divide both sides: \(\frac{3\left(3x-8\right)}{3}=\frac{21}{3}\) - step2: Divide the numbers: \(3x-8=7\) - step3: Move the constant to the right side: \(3x=7+8\) - step4: Add the numbers: \(3x=15\) - step5: Divide both sides: \(\frac{3x}{3}=\frac{15}{3}\) - step6: Divide the numbers: \(x=5\) The solution to the equation \(3(3x-8)=21\) is \(x=5\).

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Simplify this solution

Mind Expander

To solve the equation \( 3(3x - 8) = 21 \), first divide both sides by 3: \[ 3x - 8 = 7 \] Next, add 8 to both sides: \[ 3x = 15 \] Now, divide both sides by 3 to isolate \( x \): \[ x = 5 \] Thus, the solution is \( x = 5 \).

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