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2(2x - 4) = -10x + 6

What does x equal

1 answer

To solve the equation \(2(2x - 4) = -10x + 6\), follow these steps:

  1. Distribute the \(2\) on the left side: \[ 4x - 8 = -10x + 6 \]

  2. Add \(10x\) to both sides to get all terms involving \(x\) on one side: \[ 4x + 10x - 8 = 6 \] This simplifies to: \[ 14x - 8 = 6 \]

  3. Add \(8\) to both sides to isolate the \(x\) term: \[ 14x = 14 \]

  4. Divide both sides by \(14\) to solve for \(x\): \[ x = 1 \]

Thus, the value of \(x\) is \( \boxed{1} \).