Solving Equations Using the Addition Property

The Addition Property for Equations states that the same number
can be added to or subtracted from each side of the equation without changing
the solution to the equation.

Example 1:

Solve for k: -15 = 48 + k

Solution:

Isolate the k-term by cancelling the 48
from the right side of the equation.

-15 = 48 + k

-48 -48

-63 = k

Example 2:

Solve for c:c - \frac{2}{3} = \frac{1}{2}

Solution:

Isolate the c -term
by cancelling \frac{2}{3} from the left
side of the equation.

c - \frac{2}{3} + \frac{2}{3} = \frac{1}{2} + \frac{2}{3}

The constants cancel on the left side of
the equation. Write each fraction on the right side of the equation using the
common denominator: 6

c = \frac{3}{6} + \frac{4}{6} = \frac{3 + 4}{6} = \frac{7}{6}

The solution to c - \frac{2}{3} = \frac{1}{2} is \frac{7}{6} .

Solve for x. 12 + x = 8
Solve for Q: -14 = Q - 16