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7x - 9 - 11 = 3x + 4 + 2x

Question

7x - 9 - 11 = 3x + 4 + 2x

Explanation:

Step1: Combine like terms on both sides

Left side: \(7x - 9 - 11 = 7x - 20\)
Right side: \(3x + 4 + 2x = 5x + 4\)
So the equation becomes \(7x - 20 = 5x + 4\)

Step2: Subtract \(5x\) from both sides

\(7x - 5x - 20 = 5x - 5x + 4\)
\(2x - 20 = 4\)

Step3: Add 20 to both sides

\(2x - 20 + 20 = 4 + 20\)
\(2x = 24\)

Step4: Divide both sides by 2

\(\frac{2x}{2} = \frac{24}{2}\)
\(x = 12\)

Answer:

\(x = 12\)