1 step
2 step
Variable on Both Sides
Distributive Property
Word Problems
100
x + 7 = 20
x=13
100
2x - 9 = 11
x = 10
100
3x + 9 = 2x - 11
x = -20
100
2(3x + 7) = 32
x = 3
100
5 more than a given number is 20. What is the number?
x = 15
200
3x = -27
x = -9
200
x/5 + 4 = 10
x = 30
200
x + 11 = 3x + 7
x = 2
200
5(3x + 7) = 20
x = -1
200
8 less than a given number is 30. What is the number?
n = 38
300
x + 5 = 27
x = 22
300
-5x - 18 = 22
x = -8
300

3x + 6 = x + 7 + 2x

No Solution

300
3(8x + 4) = 20x
x = -3
300
6 more than twice a number is 10. What is the number?
n = 2
400
x/7 = -8
x = -56
400
6x + 7 = -11
x = -3
400
-4x - 18 = 2x - 6
x = -2
400

2(x + 5) + 6x = 8x + 10

Infinite Solutions

400
An old man tells a young man we would be the same age if you took your age times 8 and subtracted 7. If the old man is 73 how old is the young man?
10 years old
500
-x = 13
x = -13
500
x/-8 + 7 = -2
x = 72
500
-7x - 18 = -2x + 32
x = -10
500
5(3x + 7) = 12x +11
x = -8
500
If you take my number multiply it by negative 4 and add 7 you will get negative 13. What is my number?
n = 5
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