Question

6(x-7)=3x+5-xSolve for X

Answer 1

x = 47/4 = 11.75

Step-by-step explanation

First we have to apply the distributive property on the left side of the equation and we can add the terms that contain x:

`\begin{gathered} 6x-6\cdot7=(3x-x)+5 \\ 6x-42=(3-1)x+5 \\ 6x-42=2x+5 \end{gathered}`

Then we have to put all the x together on the same side of the equation, so we have to subtract 2x from both sides of the equation:

`\begin{gathered} 6x-2x-42=2x-2x+5 \\ 4x-42=5 \end{gathered}`

Then add 42 on both sides:

`\begin{gathered} 4x-42+42=5+42 \\ 4x=47 \end{gathered}`

And finally divide both sides by 4:

`\begin{gathered} (4x)/(4)=(47)/(4) \\ x=(47)/(4)=11.75 \end{gathered}`