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If 2x -3 = 5x - 27, then x = "."...

If `2x -3 = 5x - 27,` then `x = "_______."`

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To solve the equation \(2x - 3 = 5x - 27\), we will follow these steps: ### Step 1: Rearrange the equation We want to get all the terms involving \(x\) on one side and the constant terms on the other side. We can do this by subtracting \(5x\) from both sides and adding \(3\) to both sides. \[ 2x - 3 + 3 = 5x - 27 + 3 \] This simplifies to: \[ 2x = 5x - 24 \] ### Step 2: Move \(5x\) to the left side Now, we will subtract \(5x\) from both sides to isolate \(x\): \[ 2x - 5x = -24 \] This simplifies to: \[ -3x = -24 \] ### Step 3: Solve for \(x\) Now, we will divide both sides by \(-3\) to solve for \(x\): \[ x = \frac{-24}{-3} \] This simplifies to: \[ x = 8 \] ### Final Answer Thus, the value of \(x\) is \(8\). ---
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