Question

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

Answer 1

Answer:

$\displaystyle x = \frac{216}{7}$

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

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}$

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:                               $\displaystyle \frac{216}{7} = x$
6. Rewrite:                                $\displaystyle x = \frac{216}{7}$

Answer 2

Answer:

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

30.857 is the right answer.