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Ann [662]
3 years ago
7

Solve 2(3x+6)=3(x-9)

Mathematics
2 answers:
Alisiya [41]3 years ago
5 0

Answer:

-13

Step-by-step explanation:

<u>See steps below:</u>

  • 2(3x+6)=3(x-9)               ⇒ distribution
  • 6x + 12 = 3x - 27           ⇒ grouping like terms
  • 6x - 3x = -27 - 12             ⇒ simplifying
  • 3x = -39
  • x= -39/3
  • x = -13                               ⇒ answer

ElenaW [278]3 years ago
5 0

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

               Hi my lil bunny!

   ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

                 \boxed{-13}

Let's solve your equation step-by-step.

2(3x+6)=3(x-9)

Step 1: Simplify both sides of the equation.

2(3x+6)=3(x-9)

(2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9) (Distribute)

6x + 12 = 3x + -27

6x + 12 = 3x  -27

Step 2: Subtract 3x from both sides.

6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27

Step 3: Subtract 12 from both sides.

3x + 12 - 12 = -27 - 12\\3x = -39

Step 4: Divide both sides by 3.

\frac{3x}{3} = \frac{-39}{3}\\x = -13

  ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

 ●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

        Have a great day/night!

                   ❀*May*❀

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