One-Step Equations
-3x = -27
x = 9
2p + 1 = 21
p = 10
2x = x + 5
x = 5
2x + 5x + 3 = -4
x =-1
Operations that undo each other
Inverse operations
3 + g = -17
g = -20
7p - 9 = 5
p = 2
x + 1 = 3x - 5
x = 3
4 + 8x + 17 = -11
x = -4
A statement that asserts that two expressions are equal
Equation
19 - w = 13
w = 32
2(x + 1) = 18
x = 8
2(3c - 8) = -8c - 2
c = 1
2(x + 5) - 4x = -2
x = 6
An equation that is true for all values of the variable
Identity or an equation with infinitely many solutions
7x = 126
x = 18
12 - 3t = 0
t = 4
-2(-7a + 4) = 14a -7 - 1
Infinitely many solutions
3x + 11 - 9 = 14
x = 4
An equation that is false for all values of the variable
contradiction or an equation with no solutions
p/3 = -9
p = -27
-5(y - 3) = -65
y = 16
8x - 4 = 3x + 5x + 4
No solution
-2(x - 11) + 1 = 3
x =10
The values of variable that makes the equation true
Solution