# Solving Equations Rules

## 7 terms

### Solving Equations with variables on both sides of the Equation 3(x - 5) = 4x + 5

1. Combine like terms on either side of the equation
2. Expand brackets if necessary (make rainbows)
3. Locate which side has the smallest variable
4. Move the smallest variable to the opposite side (adding or subtracting)
5. Move all constants to the other side of the equation
Get rid of "District 1 Tribute"(addition or subtraction to isolate the variable term)
6. "Get rid of Peeta" Multiplication or division to isolate the variable completely

x = -5

### Solving Equations involving expanding brackets and combining like terms 5(1 + x) = 20

1. Combine like terms inside the brackets
2. Expand the brackets (make rainbows)
3. Combine like terms
4. Move all constants to the other side of the equation - Get rid of "District 1 Tribute"(addition or subtraction to isolate the variable term)
5. "Get rid of Peeta" Multiplication or division to isolate the variable completely

x = 3

### Simplifying Equations involving expanding brackets 4(x - 5)

1. Combine like terms inside the brackets if possible (make friends)
2. Make rainbows (multiply the outside term - with the symbol - by each inside term)
3. Combine like terms

### Simplifying Equations involving combining like terms 4x + x - 6

1. Locate the terms
2. Remember that the symbol + or - goes with the term that is directly behind it
3. Add or subtract to simplify

5x - 6

### Solving Equations with more than 1 step (Hunger Games...May the odds be ever in your favour!) 8x + 5 = 21

HUNGER GAMES METHOD
1. Move all single constants to the other side of the equation
Get rid of "District 1 Tribute"(addition or subtraction to isolate the variable term)
2. "Get rid of Peeta" Multiplication or division to isolate the variable completely

x = 2

### Solving Equations with multiplication or division 6x = 12

1. You must isolate the variable (get the variable all alone on one side of the equation)
2. The = sign means everything on either side is balanced
3. To move an "multiplication" to the other side you must divide
4.To move a "division" to the other side you must multiply

x = 2

### Solving Equations with addition or subtraction 4 + x = 7

1. You must isolate the variable (get the variable all alone on one side of the equation)
2. The = sign means everything on either side is balanced
3. To move an "addition" to the other side you must subtract
4. To move a "subtraction" to the other side you must add

x = 3

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