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Solve for x

: 10x+5=7x−16
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1 answer

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

  1. Start by isolating the variable \( x \). First, subtract \( 7x \) from both sides:

    \[ 10x - 7x + 5 = -16 \]

    This simplifies to:

    \[ 3x + 5 = -16 \]

  2. Next, subtract \( 5 \) from both sides to further isolate the term with \( x \):

    \[ 3x = -16 - 5 \]

    Simplifying the right side gives:

    \[ 3x = -21 \]

  3. Finally, divide both sides by \( 3 \) to solve for \( x \):

    \[ x = \frac{-21}{3} = -7 \]

Thus, the solution is:

\[ \boxed{-7} \]