Question

Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!

Answer 1

`(6)/(19) = (x - 12)/(2x - 2) \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}`

30.857 is the right answer.

Answer 2

`\displaystyle x = (216)/(7)`

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

Equality Properties

Explanation:

Step 1: Define

`\displaystyle (6)/(19) = (x - 12)/(2x - 2)`

Step 2: Solve for x

1. Cross-multiply:
   `\displaystyle 6(2x - 2) = 19(x - 12)`
2. Distribute:
   `\displaystyle 12x - 12 = 19x - 228`
3. Isolate x terms:
   `\displaystyle -12 = 7x - 228`
4. Isolate x term:
   `\displaystyle 216 = 7x`
5. Isolate x:
   `\displaystyle (216)/(7) = x`
6. Rewrite:
   `\displaystyle x = (216)/(7)`