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Solve for x: 10x + 5 = 7x - 16.

x = __

1 answer

To solve for \( x \) in the equation \( 10x + 5 = 7x - 16 \), follow these steps:

  1. Subtract \( 7x \) from both sides to get all the \( x \) terms on one side: \[ 10x - 7x + 5 = -16 \] This simplifies to: \[ 3x + 5 = -16 \]

  2. Subtract 5 from both sides to isolate the term with \( x \): \[ 3x = -16 - 5 \] Simplifying the right side gives: \[ 3x = -21 \]

  3. Divide both sides by 3 to solve for \( x \): \[ x = \frac{-21}{3} \] This simplifies to: \[ x = -7 \]

So, the final solution is: \[ x = -7 \]