QUESTION IMAGE
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.
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
$x=-3$
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| Equation | Explanation | Reason |
|---|---|---|
| $44-6x-8=-18x$ | 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 |