4. Solving Equations With Variables on Both Sides
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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.
x=7
To solve the equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality.
LHS-3x=RHS-3x
Subtract terms
LHS+10=RHS+10
Add terms
.LHS /2.=.RHS /2.
Calculate quotient
Rearrange equation
The solution to the equation is x=7. We can check our solution by substituting it into the original equation.
x= 7
Multiply
Add and subtract terms
Since the left-hand side is equal to the right-hand side, our solution is correct.