How do you expand and simplify #5( 2x + 3) + 4( 3x + 1)#?

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Answer 1 · 2017-05-26T01:43:17

See a solution process below:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(5)(2x + 3) + color(blue)(4)(3x + 1) =>#

#(color(red)(5) xx 2x) + (color(red)(5) xx 3) + (color(blue)(4) xx 3x) + (color(blue)(4) xx 1) =>#

#10x + 15 + 12x + 4#

Next, group like terms:

#10x + 12x + 15 + 4#

Now, combine like terms:

#(10 + 12)x + (15 + 4)#

#22x + 19#