Answer:
[tex]\displaystyle w = 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
Terms/Coefficients
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
Step 1: Define
Identify equation.
[tex]\displaystyle -5 = \frac{w - 11}{2}[/tex]
Step 2: Solve for w
- [Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle -10 = w - 11[/tex]
- [Addition Property of Equality] Add 11 on both sides: [tex]\displaystyle 1 = w[/tex]
- Rewrite: [tex]\displaystyle w = 1[/tex]