Question

question
solve for x.
$-2(3x - 4) - 4x + 1 = -41$

Explanation:

Step1: Expand the parentheses

$-2(3x-4) = -6x + 8$, so the equation becomes:
$-6x + 8 - 4x + 1 = -41$

Step2: Combine like terms

Combine $x$-terms: $-6x -4x = -10x$
Combine constants: $8 + 1 = 9$
Equation: $-10x + 9 = -41$

Step3: Isolate the $x$-term

Subtract 9 from both sides:
$-10x = -41 - 9$
$-10x = -50$

Step4: Solve for $x$

Divide both sides by $-10$:
$x = \frac{-50}{-10}$

Answer:

$x = 5$