
Solving Equations with Addition and SubtractionYou 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.
Example Solve . 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 DivisionYou can solve a multiplication or division equation by using the multiplication and division properties of equality.
Example Solve Solution Rewrite the mixed numbers as improper fractions. Multiply each side by , the reciprocal of the number that is multiplied by x.
Solving MultiStep Equations
Consecutive integers are integers in counting order, such as 3, 2, and 1. Example Solve . Solution 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. 