Question

equation
44 - 2(3x + 4) = -18x
explanation
write the equation.
reason\tequation\texplanation
given\t44 - 6x - 8 = -18x\t
distributive property\t-6x + 36 = -18x\t
simplify\t36 = -12x\t
addition property of equality\t-3 = x\t
division property of equality\t x = -3\t
symmetric property of equality\t

Explanation:

Step1: Start with given equation

$44 - 2(3x + 4) = -18x$

Step2: Apply distributive property

$44 - 6x - 8 = -18x$

Step3: Simplify left side constants

$-6x + 36 = -18x$

Step4: Add $18x$ to both sides

$36 = -12x$

Step5: Divide by $-12$ on both sides

$-3 = x$

Step6: Apply symmetric property

$x = -3$

Answer:

Equation	Explanation	Reason
$44 - 6x - 8 = -18x$	Expand $-2(3x+4)$	Distributive Property
$-6x + 36 = -18x$	Combine like terms	Simplify.
$36 = -12x$	Add $18x$ to both sides	Addition Property of Equality
$-3 = x$	Divide by $-12$	Division Property of Equality
$x = -3$	Swap sides	Symmetric Property of Equality

Final solution: $x=-3$