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Solve for x: -4(2x - 11) + 7 = 19.

A. x = 4
B. x = -2
C. x = -4
D. x = 2

1 answer

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

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

  2. Combine the constant terms on the left side: \[ -8x + 51 = 19 \]

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

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

Thus, the solution is \(x = 4\).

The correct answer is A. x = 4.