2. Solving Two-Step Equations
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Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
191/3
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.
LHS+9.1=RHS+9.1
Add terms
Rearrange equation
LHS * 10=RHS* 10
Multiply
.LHS /3.=.RHS /3.
Calculate quotient
The solution to the equation is x = 1913. We can check our solution by substituting it into the original equation.
x= 191/3
Write as a fraction
Multiply fractions
Cancel out common factors
Simplify quotient
Calculate quotient
Subtract term
Since the left-hand side is equal to the right-hand side, our solution is correct.