Question

11x-6=7x+10 solve for x

Answer 1

`x=4`

Step-by-step explanation:

Given the equation:

`11x-6=7x+10`

To solve for x, first of all,

Subtract 7x from both sides

`\begin{gathered} 11x-6-7x=7x+10-7x \\ 11x-7x-6=7x-7x+10 \\ 4x-6=10 \end{gathered}`

Next, add 6 to both sides

`\begin{gathered} 4x-6+6=10+6 \\ 4x=16 \end{gathered}`

Next, divide both sides by 4

`\begin{gathered} (4x)/(4)=(16)/(4) \\ \\ x=4 \end{gathered}`

Therefore, the value of x is 4