What is the first step in solving equations?
Distribute
Solve for x:
2(x - 7) = 10
x = 12
Combine Like Terms:
6 + 10x - 4x + x + 1
7x + 7
How many solutions are there?
5 = 5
Infinitely Many
Solve for x:
13 - 15x = 4 - 6x
x = -9
What is the second step in solving equations?
Combine like terms
Solve for x:
5(x + 2) = -20
x = -6
Solve for x:
-7x - 10 = -8x - 4x
x = 2
How many solutions are there?
x = 0
One Solution
Solve for x:
-x + 1 = 1 + 8x
x = 0
What is the third step in solving equations?
Move variable
Solve for x:
3(2 + x) = 5x + 16
x = -5
Solve for x:
10 - 8x = -2x + 4x
x = 1
How many solutions are there?
3x + 7 = 7 + 3x
Infinitely Many
Solve for x:
10 - 10x = 1 - 9x
x = 9
What is the fourth step in solving equations?
Add or subtract the constant
Simplify:
- 4(6x + 13)
-24x - 52
Solve for x:
13 + 4x + 3x = 3x + 1
x = -3
How many solutions are there?
12v + 14 = 80 - 10v
One Solution
Solve for x:
-2(3x - 10) = - 7(x - 2)
x = 6
What is the final step in solving equations?
Multiply or divide the coefficient
Simplify:
2(2x - 1)
4x - 2
Combine Like Terms:
-5 + 7 + 2x - 3x - x - 8
-2x - 6
How many solutions are there?
4(x-2) = 4x + 8
No Solution
Solve for x:
x + 1 - 3x = -5 + x +1 - 2x
x = 5