If there are fractions within the equation then multiply each of the **terms** by the
LCD (the smallest number that all of the denominators will divide into the
LCD evenly.) Add, subtract, multiply or divide anything to the terms
of the equation as long the operation is performed “equally” to
both sides of the equation (in other words do
the same operation/s with the same number/s) to both sides of the equation. The goal in solving an equation is to isolate the variable … get the
variable (letter) on one side of the equation with no coefficient (no number in front of
the variable.) In essence
isolating the variable means to
“disconnect” the numbers that are attached to the variable. If a number is connected by addition or
subtraction, then (respectively) “undo” this by subtracting or adding. If the variable has a coefficient (number attached
by multiplication) then divide the coefficient.

Example (1), involves all of the steps … except fractions.
Example (2) has a
“simple” fraction.

Example
(3) has a more difficult fraction.

(1) Solve: _{
}

_{
}
…Distribute

_{
}
…the results

_{
} = _{
}
…Collect

_{} _{}
…Addition (and subtraction)

_{
}
…the results

_{
}
…Division

_{
}
…the solution

_{
}
Check…substitute the number found into the

_{
}
original equation and see if the left side is

_{
}
equal to the right side. If this turns
out to

_{
}
be true, then this number is the correct answer.

J Correct

(2) Solve:
_{
}

_{
}
…Multiply both sides by the reciprocal to the

_{
}
fraction that is
attached to the variable

_{
}
…Check

_{
}

J Correct

(3) Solve: _{
}
…Fractions
L

_{
}
…Multiply each term by the LCD = 12

_{
} = _{
}
…the results of multiplication of terms

_{
} _{}
…Addition

_{
}
…the results of Addition

_{
}
…Division

_{
}

_{
}
…Check

_{
}

_{
}

_{
}

J Correct