How do you simplify #5(x+9)+8(2x+7)#?

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Answer 1 · 2016-12-23T13:19:47

#21x + 101#

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

#color(red)(5)(x + 9) + color(green)(8)(2x + 7) ->#

#(color(red)(5) * x) + (color(red)(5) * 9) + (color(green)(8) * 2x) + (color(green)(8) * 7) ->#

#5x + 45 + 16x + 56#

Next, we can group like terms:

#5x + 16x + 45 + 56#

Finally, we can combine like terms to complete the simplification:

#(5 + 16)x + 101 ->#

#21x + 101#