Solve for x: −4 (2x − 11) + 7 = 19. (1 point)

Question

x = 2
x = −2
x = 4
x = −4

Answer 1

To solve the equation \(-4 (2x - 11) + 7 = 19\), we can start by distributing the \(-4\) on the left side.

1. Distribute \(-4\): \[ -4 \cdot 2x + -4 \cdot (-11) + 7 = 19 \] \[ -8x + 44 + 7 = 19 \]

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

3. Subtract 51 from both sides: \[ -8x = 19 - 51 \] \[ -8x = -32 \]

4. Divide by \(-8\): \[ x = \frac{-32}{-8} \] \[ x = 4 \]

Thus, the solution is: \[ \boxed{4} \]