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32+39 x=5+6(2x+4)+3+27 x
The steps to show that the right-hand side of the equation is equivalent to the left-hand side are shown below. For each step, select the option below that correctly justifies it.

{:[" Steps: "],[32+39 x=5+6(2x+4)+3+27 x],[32+39 x=8+6(2x+4)+27 x],[32+39 x=8+12 x+24+27 x],[32+39 x=8+24+12 x+27 x],[32+39 x=32+39 x]:}
Justification:

$32+39 x=5+6(2 x+4)+3+27 x$ $\newline$ The steps to show that the right-hand side of the equation is equivalent to the left-hand side are shown below. For each step, select the option below that correctly justifies it. $\newline$ $\begin{array}{l} \text { Steps: } \\ 32+39 x=5+6(2 x+4)+3+27 x \\ 32+39 x=8+6(2 x+4)+27 x \\ 32+39 x=8+12 x+24+27 x \\ 32+39 x=8+24+12 x+27 x \\ 32+39 x=32+39 x \end{array}$ $\newline$ Justification:

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Write two-variable inequalities: word problems

Full solution

Q.

32+39 x=5+6(2 x+4)+3+27 x

\newline

The steps to show that the right-hand side of the equation is equivalent to the left-hand side are shown below. For each step, select the option below that correctly justifies it.

\newline

\begin{array}{l} \text { Steps: } \\ 32+39 x=5+6(2 x+4)+3+27 x \\ 32+39 x=8+6(2 x+4)+27 x \\ 32+39 x=8+12 x+24+27 x \\ 32+39 x=8+24+12 x+27 x \\ 32+39 x=32+39 x \end{array}

\newline

Justification:

Combine like terms: Combine like terms on the right-hand side by adding $5$ and $3$ together. $\newline$ $32+39x = 5+6(2x+4)+3+27x$ $\newline$ $32+39x = 8+6(2x+4)+27x$
Distribute $6$ : Distribute $6$ into the parentheses $6(2x+4)$ to get $12x+24$ . $\newline$ $32+39x = 8+12x+24+27x$
Combine like terms: Combine like terms on the right-hand side by adding $8$ and $24$ together. $32+39x = 32+12x+27x$
Combine like terms: Combine like terms on the right-hand side by adding $12x$ and $27x$ together. $\newline$ $32+39x = 32+39x$

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