What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3

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

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

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

Step 1: Simplify both sides of the equation.

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

Simplify: (Show steps)

2x - 12 = 3x + 9

Step 2: Subtract 3x from both sides.

2x - 12 - 3x = 3x + 9 - 3x

-x - 12 = 9

Step 3: Add 12 to both sides.

-x - 12 + 12 = 9+12

-x = 21

Step 4: Divide both sides by - 1.

-x / - 1 = 21 / - 1

x = - 21

Answer:

x = - 21