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equation 44 - 2(3x + 4) = -18x explanation write the equation. rewrite …

Question

equation
44 - 2(3x + 4) = -18x
explanation
write the equation.
rewrite the solution.
multiply.
combine like terms.
add 6x to each side.
divide each side by -12.

Explanation:

Step1: Match given equation

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

Step2: Apply distributive property

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

Step3: Combine like terms

$-6x+36=-18x$

Step4: Add $6x$ to both sides

$36=-12x$

Step5: Divide by $-12$

$\frac{36}{-12}=\frac{-12x}{-12}$

Step6: Use symmetric property

$x=-3$

Answer:

EquationExplanationReason
$44-6x-8=-18x$Multiply.Distributive Property
$-6x+36=-18x$Combine like terms.Simplify.
$36=-12x$Add $6x$ to each side.Addition Property of Equality
$-3=x$Divide each side by $-12$.Division Property of Equality
$x=-3$Rewrite the solution.Symmetric Property of Equality