Simplify: 3(x + 4) - 2(x - 2) a. x + 8 b. -5x + 16 c. x + 16 d. 5x + 16

Original conversation

User: Simplify: 3(x + 4) - 2(x - 2) a. x + 8 b. -5x + 16 c. x + 16 d. 5x + 16

Weegy: 3(x+4)-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply 3 by each term inside the parentheses (x+4).
3(x)+3(4)-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply 3 by the x inside the parentheses.
3*x+3(4)-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply 3 by x to get [ 3x.
3x+3(4)-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply 3 by the 4 inside the parentheses.
3x+3*4-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply 3 by 4 to get 12.
3x+12-2(x-2)*ax+8b-5x+16cx+16dx+16
Multiply -2 by each term inside the parentheses (x-2).
3x+12-2(x)-2(-2)*ax+8b-5x+16cx+16dx+16
Multiply -2 by the x inside the parentheses.
3x+12-2*x-2(-2)*ax+8b-5x+16cx+16dx+16
Multiply -2 by x to get -2x.
3x+12-2x-2(-2)*ax+8b-5x+16cx+16dx+16
Multiply -2 by the -2 inside the parentheses.
3x+12-2x-2*-2*ax+8b-5x+16cx+16dx+16
Multiply -2 by -2 to get 4.
3x+12-2x+4*ax+8b-5x+16cx+16dx+16
Multiply 4 by ax to get 4ax.
3x+12-2x+4ax+8b-5x+16cx+16dx+16
According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, x is a factor of both 3x and -2x.
(3-2)x+12+4ax+8b-5x+16cx+16dx+16
To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value. In this example, subtract the absolute values of 3 and -2 and give the result the same sign as the integer with the greater absolute value.
(1)x+12+4ax+8b-5x+16cx+16dx+16
Remove the parentheses.
x+12+4ax+8b-5x+16cx+16dx+16
According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, x is a factor of both x and -5x.
(1-5)x+12+4ax+8b+16cx+16dx+16
To add integers with different signs, subtract their absolute values and give the result the same sign as the integer with the greater absolute value. In this example, subtract the absolute values of 1 and -5 and give the result the same sign as the integer with the greater absolute value.
(-4)x+12+4ax+8b+16cx+16dx+16
Remove the parentheses.
-4x+12+4ax+8b+16cx+16dx+16
Add 16 to 12 to get 28.
-4x+28+4ax+8b+16cx+16dx ] Expert answered|thederby|Points 1238|

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