Question

4x + 9 = -7x + 42 help

Answer 1

`{ \blue{ \boxed{ \pink{ \tt{x = 3}}}}}`

Explanation:

`{ \green{ \sf{4x + 9 = - 7x + 42}}}`

`{ \green{ \sf{4x + 7x = 42 - 9}}}`

`{ \green{ \sf{11x = 33}}}`

`{ \green{ \sf{x = (33)/(11)}}}`

`{ \boxed{ \blue{ \tt{x = 3}}}}`

Answer 2

The given expression is

`4x+9=-7x+42`

First, we add 7x on each side

`\begin{gathered} 4x+7x+9=-7x+7x+42 \\ 11x+9=42 \end{gathered}`

Second, we subtract 9 from each side

`\begin{gathered} 11x+9-9=42-9 \\ 11x=33 \end{gathered}`

At last, we divide the equation by 11.

`\begin{gathered} (11x)/(11)=(33)/(11) \\ x=3 \end{gathered}`

Hence, the solution is x = 3.