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ozzi
3 years ago
14

Distribute and combine like terms. Please show all of your work. -5(3x + 7) - 4(x - 4) + 11

Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
5 0

For this case we have the following expression:

-5 (3x + 7) -4 (x-4) +11

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

-15x-4x-35 + 16 + 11 =\\-19x-8

ANswer:

-19x-8

seropon [69]3 years ago
3 0

Answer: 19x - 8

<h3>Steps</h3>

-5(3x + 7)

Apply the distributive law: a( b + c ) = ab + ac

<u>a = </u><u>-5,</u><u> b = </u><u>3x,</u><u> c = </u><u>7</u>

= -5 * 3x + (-5) x 7

Apply minus - plus rules

<u>+(-a) = -a</u>

= -5 * 3x - 5 x 7

Simplify

-5 * 3x - 5 x 7

Multiply the numbers: 5 x 3 = 15

= -15x - 5 x 7

Multiply the numbers: 5 x 7 = 35

= -15x - 35

Plug in the values

-15x - 35 - 4(x - 4) + 11

------------------------------------------------------------------

-4(x - 4)

Apply the distributive law: a( b - c ) = ab - ac

<u>a = </u><u>-4, </u><u>b = </u><u>x, </u><u>c = </u><u>4</u>

= -4x - (-4) * 4

Apply minus - plus rules

<u>-(-a) = a</u>

= -4x + 4 * 4

Multiply the numbers: 4 * 4 = 16

= -4x + 16

Plug in the values

-15x - 35 - 4x + 16 + 11

------------------------------------------------------------------

Simplify

-15x - 35 - 4x + 16 + 11

Group like terms

= -15x - 4x - 35 + 16 + 11

Add similar elements: -15x - 4x = -19x

= -19x - 35 + 16 + 11

Add/Subtract the numbers: -35 + 16 + 11 = -8

= 19x - 8

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