Solve for x

Question

x
: −4(2x−11)+7=19
−
4
(
2
x
−
11
)
+
7
=
19
.

Answer 1

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

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

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

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

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

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