Solve the equation

5(n+3)=2(2n+6)

Simplify
4(x-1)+2(x+4)

5n+15=4n+12

-4n -4n
n+15=12
-15 -15
n=-3
Check 5(-3+3)=3(2*-3 +6)
5(0)=3(16+6)
0=3(0)
0=0

4x-4+2x+8
6x+4

Thank you

To solve the equation 5(n+3) = 2(2n+6), we need to simplify both sides and isolate the variable.

Step 1: Distribute the terms:
On the left side: 5(n+3) becomes 5n + 15.
On the right side: 2(2n+6) becomes 4n + 12.

So the equation becomes: 5n + 15 = 4n + 12.

Step 2: Move all terms with n to one side:
Subtract 4n from both sides, so the equation becomes: 5n - 4n + 15 = 4n - 4n + 12.
This simplifies to: n + 15 = 12.

Step 3: Isolate the variable:
Subtract 15 from both sides, so the equation becomes: n + 15 - 15 = 12 - 15.
This simplifies to: n = -3.

Therefore, the solution to the equation 5(n+3) = 2(2n+6) is n = -3.

Now let's simplify the expression 4(x-1) + 2(x+4).

Step 1: Distribute the terms:
On the left side: 4(x-1) becomes 4x - 4.
On the right side: 2(x+4) becomes 2x + 8.

So the expression becomes: 4x - 4 + 2x + 8.

Step 2: Combine like terms:
Combine the x terms and combine the constant terms:
4x + 2x - 4 + 8.

This simplifies to: 6x + 4.

Therefore, the simplified form of 4(x-1) + 2(x+4) is 6x + 4.