To solve the equation \( 2x - 1 = 4x + 3 \), follow these steps:
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Start with the original equation: \[ 2x - 1 = 4x + 3 \]
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To isolate the variable \( x \), first move all terms involving \( x \) to one side and constant terms to the other side. Subtract \( 2x \) from both sides: \[ -1 = 4x - 2x + 3 \] This simplifies to: \[ -1 = 2x + 3 \]
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Next, isolate \( 2x \) by subtracting 3 from both sides: \[ -1 - 3 = 2x \] This simplifies to: \[ -4 = 2x \]
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Finally, divide both sides by 2 to solve for \( x \): \[ x = \frac{-4}{2} = -2 \]
So the solution to the equation \( 2x - 1 = 4x + 3 \) is: \[ \boxed{-2} \]