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Solye for x.7(x - 3) + 3(4 - x) = -8

1 Answer

2 votes


x=(1)/(4)

Step-by-step explanation

Step 1

apply the distributive property to eliminate the parenthesis


\begin{gathered} 7(x-3)+3(4-x)=-8 \\ 7x-21+12-3x=-8 \end{gathered}

Step 2

add similar terms


\begin{gathered} 7x-21+12-3x=-8 \\ 4x-9=-8 \end{gathered}

Step 3

add 9 in both sides


\begin{gathered} 4x-9=-8 \\ 4x-9+9=-8+9 \\ 4x=1 \end{gathered}

Step 4

divide each side by 4


\begin{gathered} 4x=1 \\ (4x)/(4)=(1)/(4) \\ x=(1)/(4) \end{gathered}

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