Question

How do you solve `7-5x =-5x-6x+7`?

Answer 1

`x = 0`

Explanation:

Step 1) Consolidate like terms on each side of the equation:

`7 - 5x = (-5 - 6)x + 7`

`7 - 5x = -11x + 7`

Step 2) Isolate and solve for `x` while keeping the equation balanced:

First, subtract 7 from each side of the equation:

`7 - 7 - 5x = -11x + 7 - 7`

`0 - 5x = 11x + 0`

`-5x = 11x`

Next add `5x` to each side of the equation:

`-5x + 5x = 11 + 5x`

`0 = (11 + 5)x`

`0 = 16x`

Finally, divide each side of the equation by 16:

`0/16 = (16x)/16`

`0 = (16/16) x`

`0 = 1x`

`x = 0`