Question

How do you solve `3x+6=-1-3+4x`?

Answer 1

See a solution process below:

Explanation:

Step 1) Combine like terms on the right side of the equation:

`3x + 6 = (-1 -3) + 4x`

`3x + 6 = -4 + 4x`

Step 2) Subtract `color(red)(3x)` and add `color(blue)(4)` to each side of the equation to solve for `x` while keeping the equation balanced:

`3x + 6 - color(red)(3x) + color(blue)(4) = -4 + 4x - color(red)(3x) + color(blue)(4)`

`3x - color(red)(3x) + 6 + color(blue)(4) = -4 + color(blue)(4) + 4x - color(red)(3x)`

`0 + 10 = 0 + (4 - color(red)(3))x`

`10 = 1x`

`10 = x`

`x = 10`