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Distributive Property
Two-step Equations
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Two-step Distributive Equations
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100
a(b+c)
ab+ac
100
2x+6=8
x=1
100

6x+ 8 =50

x=7

100
2(x+3)=10
x=2
100

Three fewer than one fourth of x is twelve.

1/4x-3=12

200
2(x+2)
2x+4
200
5x-6=19
x=5
200
(x/4) -12 =4
x=64
200
5(x+9)=15
x=-6
200

At a dinner of 37 people,  an equal number of guests sat at three large tables and 7 late guests sat at a smaller table. n=number of guests at large table

3n+7= 37

300
5(-x-7)
20x+35


300
(1/2)x -10=20
x=60
300
(2/5)x +6=8
x=5
300
3(-x-4)=9
x=-7
300

Scott picked n tomatoes. Grant 5 times as many but threw 6 of them back because they were rotten. Grant has 19 tomatoes.

5n-6=19

400
12(6x-8)
72x-96
400

(x +11)/ 8= -3

x= -35

400

1= (a-13) / -6

a=7

400
(1/2)(x+10)=8
x=6
400

Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours from the previous week, h. 

2/3h-5=11

500
-7(-11x+8)
77x-56
500

4= (w+8) / 9

w=28

500

(n-5) / -2 = -7

n=19

500
-12(-5x-8)=-84
x=-3
500

Four friends went out to dinner and split the bill evenly. Each paid $12.75 for the meal and left "t" tip. The total bill was $61.

4(12.75+ t)=61