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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.
2
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 will start by finding the least common denominator, so that we can add the fractions.
a/b=a * 2/b * 2
Multiply
Add fractions
Add terms
LHS * 14=RHS* 14
a/14* 14 = a
.LHS /7.=.RHS /7.
The solution to the equation is m=2. We can check our solution by substituting it into the original equation.
m= 2
Multiply
a/b=a * 2/b * 2
Multiply
Add fractions
Simplify quotient
Since the left-hand side is equal to the right-hand side, our solution is correct.