Solving Equations with Variables on Both Sides

Subtract variables from both sides

Divide both sides by the coefficient of the variable

Add constants to both sides

Collect variable terms on one side

Multiply both sides by the leading coefficient

Choose the side for variable terms based on coefficient size

Combine like terms

Isolate the variable on one side

By always choosing the left side for variables

By subtracting the smaller coefficient from the larger one

By multiplying both sides by -1

By choosing the side with the greater coefficient for variables

3

7

13

21

Add 13 to both sides

Divide both sides by 4

Subtract 6x from both sides

Add 11 to both sides

x = -24

x = 6

x = -6

x = 24

Left side

Right side

Both sides

Neither side

x = 30

x = -6

x = 6

x = -30

Because it has a negative coefficient

Because it has a larger coefficient

Because it has a positive coefficient

Because it has a smaller coefficient

x = 4

x = -4

x = 8

x = -8