To solve the equation \(5x - 9 = 6x - 3\), we can start by isolating \(x\).
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Subtract \(5x\) from both sides: \[ -9 = 6x - 5x - 3 \] This simplifies to: \[ -9 = x - 3 \]
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Next, add 3 to both sides to isolate \(x\): \[ -9 + 3 = x \] This simplifies to: \[ -6 = x \]
So, the solution is: \[ x = -6 \]