Question

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

Answer 1

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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.

`(3x)/(3) = (-39)/(3)\\x = -13`

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

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer 2

-13

Explanation:

See steps below:

• 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