Solving Equations with Addition and Subtraction
You can add or subtract the same number on each side of an equation and the result is an equivalent equation . Equivalent equations have the same solution.
The number has been subtracted from x. The opposite of subtracting is adding . Add to each side of the equation. is an equivalent equation. Simplify to obtain x = 1.
Check: Is ? Yes. The solution is 1.
Solving Equations with Multiplication and Division
You can solve a multiplication or division equation by using the multiplication and division properties of equality.
Rewrite the mixed numbers as improper fractions.
Multiply each side by , the reciprocal of the number that is multiplied by x.
Solving Multi-Step Equations
Consecutive integers are integers in counting order, such as -3, -2, and -1.
Multiply each side by 4 to eliminate the fraction.
Next, undo the subtraction by adding 3 to each side.
2x - 3 + 3 = 36 + 3
2x = 39
Last, undo the multiplication by dividing each side by 2.