Question

Solve the equation.
12 left parenthesis x plus 2 right parenthesis equals 6 left parenthesis 2 x plus 3 right parenthesis plus 6
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Part 1
A.
No solution
B.
All real numbers
C.
0
D.24
24

Answer 1

Let's solve the equation step-by-step:

We start with the equation:
\[ 12(x + 2) = 6(2x + 3) + 6 \]

1. Distribute on both sides:
\[ 12x + 24 = 12x + 18 + 6 \]

2. Simplifying the right side:
\[ 12x + 24 = 12x + 24 \]

Now we see that both sides of the equation are equal. This means that this equation is an identity.

Since the equation holds true for all values of \( x \), the solution is:

**B. All real numbers**