Question

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

Answer 1

`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}`