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Solve for x

: −4(2x−11)+7=19
. (1 point)
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1 answer

To solve the equation \(-4(2x - 11) + 7 = 19\), follow these steps:

  1. Distribute \(-4\) across the terms inside the parentheses: \[ -4 \cdot 2x + -4 \cdot -11 + 7 = 19 \] which simplifies to: \[ -8x + 44 + 7 = 19 \]

  2. Combine like terms: \[ -8x + 51 = 19 \]

  3. Subtract 51 from both sides to isolate the term with \(x\): \[ -8x = 19 - 51 \] which simplifies to: \[ -8x = -32 \]

  4. Divide both sides by \(-8\) to solve for \(x\): \[ x = \frac{-32}{-8} \] which simplifies to: \[ x = 4 \]

So the solution is: \[ \boxed{4} \]