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

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Answer 1 · 2017-01-09T14:30:27

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#