Question

When `0.3(4x -8)- 0.5( -2.4x+4)` is simplified, what is the resulting expression?

Answer 1

The first step to simplify this expression is to expand the terms in parenthesis:

`color(red)(0.3)(4x - 8) - color(blue)(0.5)(-2.4x + 4) ->`

`(color(red)(0.3) xx 4x) - (color(red)(0.3) xx 8) + (color(blue)(0.5) xx 2.4x) - (color(blue)(0.5) xx 4) ->`

`1.2x - 2.4 + 1.2x - 2`

Next we can group and combine like terms to complete the simplification:

`1.2x + 1.2x - 2.4 - 2`

`(1.2 + 1.2)x - 4.4`

`2.4x - 4.4`