b Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
C
c Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
D
d Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
A
a x=12.9
B
b x=2
C
c x=0
D
d x=23/9
Practice makes perfect
a To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Addition Property to simplify the right-hand side of the equation.
b To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Subtraction Property to simplify the left-hand side of the equation.
c To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Subtraction Property to simplify the left- and right-hand sides of the equation.
2x/3+x/2=2x/3
⇔
x/2=0
Now we can continue to solve using the Properties of Equality.
x/2=0 ⇔ x=0
The solution to the equation is x=0.
d To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left-hand side of the equation.
3/2(2x-5)=1/6
⇔
3x -15/2 = 1/6
Now we can continue to solve using the Properties of Equality.
