Equations - Part 1
Solve each equation for x.
3x + 5 = 10
-5 -5
3x = 5
/3 /3
x = 5/3
6(x + 4) = 12
/6 /6
x + 4 = 2
-4 -4
x = -2
3x - 100 = -100
+ 100 +100
3x = 0
x = 0
Compare these solutions:
5(2x + 6) + 7 = 17
10x + 30 + 7 = 17
10x + 37 = 17
-37 -37
10x = -20
/10 /10
x = -2
5(2x + 6) + 7 = 17
-7 -7
5(2x + 6) = 10
/5 /5
2x + 6 = 2
-6 -6
2x = -4
/2 /2
x = -2
Compare these solutions:
9 = 3(12x - 7) - 18
9 = 36x - 21 - 18
9 = 36x - 39
+39 +39
48 = 36x
/36 /36
x = 48/36 = 3/2
9 = 3(12x - 7) - 18
+18 + 18
27 = 3(12x - 7)
/3 /3
9 = 12x - 7
+7 + 7
16 = 12x
/12 /12
x = 16/12 = 3/2