Question

How do you solve `5- 4x + 8+ 2x + 3x - 4= 3+ 3\cdot 4`?

Answer 1

See the entire solution process below:

Explanation:

First, group and combine like terms on the left side of the equation:

`-4x + 2x + 3x + 5 + 8 - 4 = 3 + 3 * 4`

`(-4 + 2 + 3)x + (5 + 8 - 4) = 3 + 3 * 4`

`1x + 9 = 3 + 3 * 4`

`x + 9 = 3 + 3 * 4`

Next, we simplify the right side of the equation by following the standard rules for the order of operator where you multiply first and then add:

`x + 9 = 3 + color(red)(3 * 4)`

`x + 9 = 3 + 12`

`x + 9 = 15`

Now, subtract `color(red)(9)` from each side of the equation to solve for `x` while keeping the equation balanced:

`x + 9 - color(red)(9) = 15 - color(red)(9)`

`x + 0 = 6`

`x = 6`