Question

Simplify the expression by arranging the steps in sequence, based on the order of operations.

Answer 1

Answer:

$\displaystyle 6x - 5$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Algebra I

• Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)$

Step 2: Simplify

1. Distribute:                           $\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)$
2. Multiply:                              $\displaystyle 5x + 4 - 9 + x$
3. Rearrange:                          $\displaystyle 5x + x + 4 - 9$
4. Combine like terms:          $\displaystyle 6x - 5$