How do you simplify #2w - 3( - 4x + 6w ) + 3x#?

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Answer 1 · 2017-10-06T16:43:29

#15x-16w#

Start by distributing the part in red:

#2w-color(red)(3(-4x+6w))+3x#

#3(-4x+6w)=-12x+18w#

Putting it back into the expression:

#2w-(color(red)(-12x+18w))+3x#

Distributing the negative sign:

#2w+12x-18w+3x#

Combining like terms:

#color(red)(2w)+color(blue)(12x)-color(red)(18w)+color(blue)(3x)=color(red)(-16w)+color(blue)(15x)#

Which is the same as: #15x-16w#