Solve the equation.

Expanding the brackets and simplifying:

7.2x + 4.8 + 0.3x + 1.2 = 6.6

Combining like terms:

7.5x + 6 = 6.6

Subtracting 6 from both sides:

7.5x = 0.6

Dividing both sides by 7.5:

x = 0.08

Therefore, the solution is x = 0.08.

2.4(3x+2)+0.3(x+4)=6.6 , don't like those decimals .....

divide each term by .3
8(3x+2) + (x+4) = 22
24x + 16 + x + 4 = 22
25x = 2
x = 2/25 or .008

Your solution is correct and is another way to approach the problem without decimals. Thank you for sharing!

Let's start solving the equation step by step.

Step 1: Distribute the numbers outside the parentheses.
2.4 * 3x = 7.2x
2.4 * 2 = 4.8
0.3 * x = 0.3x
0.3 * 4 = 1.2

So the equation becomes:
7.2x + 4.8 + 0.3x + 1.2 = 6.6

Step 2: Combine like terms.
This means grouping the x terms together and the constant terms together.
7.2x + 0.3x = 7.5x
4.8 + 1.2 = 6

So the equation becomes:
7.5x + 6 = 6.6

Step 3: Subtract 6 from both sides of the equation to isolate the variable.
7.5x + 6 - 6 = 6.6 - 6
7.5x = 0.6

Step 4: Divide both sides of the equation by 7.5 to solve for x.
7.5x/7.5 = 0.6/7.5
x = 0.08

So the solution to the equation is x = 0.08.