In the equation, which is true about the value of x?
4(2x + 3) = x(3 + 5) + 12
A- x =- 3/8, x= -3/2
B- No solution
C- Single solution
D- infinitely many solutions
8x + 12 = 8x + 12
What does that tell you?
What does it tell us psyDAG?
To determine the value of x in the given equation, we need to solve for it. Let's go step by step:
1. Expand both sides of the equation:
4(2x + 3) = x(3 + 5) + 12
Simplifying the left side:
8x + 12 = x(8) + 12
Simplifying the right side:
8x + 12 = 8x + 12
2. Notice that both sides of the equation are identical, which means that for any value of x, the equation will hold true. Therefore, the equation has infinitely many solutions.
Hence, the correct answer is D - infinitely many solutions.