Answer:
x = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
3(x - 2) = 2(x + 1)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 3x - 6 = 2x + 2
- Subtract 2x on both sides: x - 6 = 2
- Add 6 to both sides: x = 8
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3(8 - 2) = 2(8 + 1)
- Subtract/Add: 3(6) = 2(9)
- Multiply: 18 = 18
Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
Answer: 
Step-by-step explanation:
Given
Speed of boat 



Answer:
472.2 km
Step-by-step explanation:
Answer:
"simplify"
Step-by-step explanation:
The notion of <em>simplifying</em> an expression depends on the expression. For the one offered as an example, the simplification steps required are eliminating parentheses and combining like terms.
Other possible simplification steps include combining fractions, reducing fractions, and rationalizing denominators (eliminating surds or complex numbers).
It appears the vocabulary word that is desired in the blank is <u>simplify</u>.