4. Solving Equations with the Variable on Each Side
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To solve an equation with a variable on both sides, we 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-2=RHS-2
Subtract terms
LHS-4x=RHS-4x
Subtract terms
.LHS /9.=.RHS /9.
Calculate quotient
The solution to the equation is x=4. We can check our solution by substituting it into the original equation.
Since the left-hand side is equal to the right-hand side, our solution is correct.