Question

When the equation a-Bx = Cx + d is solved for x, the result is x = a-d/b+c

Use the general solution to solve 5-6x=8x+17

Answer 1

`\Rightarrow x=-(6)/(7)` is the required result.

Explanation:

We have been given an equation:
`a-bx=cx+d` (2)

And
`x=(a-d)/(b+c)`

And an equation:
`5-6x=8x+17` (1)

We will compare this equation (1) by (2) we get:

`a=5,b=6,c=8,d=17`

So, according to the solution of equation (2) we will get the solution of equation (1) we get:

`x=(5-17)/(6+8)`

`\Rightarrow x=(-12)/(14)`

`\Rightarrow x=-(6)/(7)` is the required result.

Answer 2

`x = - \frac{6} {7}`

Explanation:

We are given the following algebraic expression and we are to solve it for x using the general solution:

`5 - 6x = 8x + 17`

Rearranging the given expression by grouping the like terms together to get:

`5 - 17 = 8x + 6x`

`14x = -12`

`x=- \frac{12} {14}`

`x = - \frac{6} {7}`