Question

How do you solve `4(3x-1.2)=9.5x+6.2`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the term within parenthesis on the left side of the equation:

`(4 xx 3x) - (4 xx 1.2) = 9.5x + 6.2`

`12x - 4.8 = 9.5x + 6.2`

Next, add `color(red)(4.8)` and subtract `color(blue)(9.5x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`12x - 4.8 + color(red)(4.8) - color(blue)(9.5x) = 9.5x + 6.2 + color(red)(4.8) - color(blue)(9.5x)`

`12x - color(blue)(9.5x) - 4.8 + color(red)(4.8) = 9.5x - color(blue)(9.5x) + 6.2 + color(red)(4.8)`

`2.5x - 0 = 0 + 11`

`2.5x = 11`

Now, divide each side of the equation by `color(red)(2.5)` to solve for `x` while keeping the equation balanced:

`(2.5x)/color(red)(2.5) = 11/color(red)(2.5)`

`(color(red)(cancel(color(black)(2.5)))x)/cancel(color(red)(2.5)) = 4.4`

`x = 4.4`