9 Multi-step equations 5x – 7 = x + 3 Multi-step equations contain more than one of the same variable. Sometimes these variables are on opposite sides of the equal symbol.ISOLATE your variable on one side of the equation.5x – 7 = x + 3
10 Example 1 5x – 7 = x + 3 -x -x____ 4x – 7 = 3 +7 +7 4x = 10 4 4 x = 5 Step A:Use Addition/Subtraction Properties of Equality to separate all variable terms from number terms on opposite sides of the equal symbol.Step B:Solve for x. ALWAYS reduce fractions!Step C:Check Solution.5x – 7 = x + 3-x -x____4x – 7 =4x =x = 52
11 Variable terms already together DO NOT use addition or subtraction property of equality. Simply combine like terms as they are, where they are!2x + 3x = 255x = 25x = 5
12 If you see Parentheses . . .Then your 1st step will be to use the DISTRIBUTIVE PROPERTYAfter ( )’s are gone, then follow steps A-C from example 1.