To solve the equation \(7x - 5 = 2x + 15\), follow these steps:
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Get all terms involving \(x\) on one side: Subtract \(2x\) from both sides: \[ 7x - 2x - 5 = 15 \] Simplifying gives: \[ 5x - 5 = 15 \]
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Isolate the \(x\) terms: Add \(5\) to both sides: \[ 5x = 20 \]
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Solve for \(x\): Divide both sides by \(5\): \[ x = 4 \]
So, the solution is \(x = 4\).