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:

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

$21x + 101$

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