Answer:
[tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Algebra I
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle h = 4(x + 3y) + 2[/tex]
Step 2: Solve for x
- [Subtraction Property of Equality] Subtract 2 on both sides: [tex]\displaystyle h - 2 = 4(x + 3y)[/tex]
- [Division Property of Equality] Divide 4 on both sides: [tex]\displaystyle \frac{h - 2}{4} = x + 3y[/tex]
- [Subtraction Property of Equality] Subtract 3y on both sides: [tex]\displaystyle \frac{h - 2}{4} - 3y = x[/tex]
- Rewrite: [tex]\displaystyle x = \frac{h - 2}{4} - 3y[/tex]