What is the solution to the equation below?
4x + 3 (x - 2) = 8x - (6 + x)
A. X = 6
B. No solution
C. X = -4
D. Infinite solutions
To solve the equation, let's start by distributing terms on both sides:
4x + 3(x - 2) = 8x - (6 + x)
4x + 3x - 6 = 8x - 6 - x
Combining like terms:
7x - 6 = 7x - 6
Notice that the variable "x" appears on both sides of the equation. In this case, we can conclude that the equation has infinite solutions since subtracting 7x from both sides leaves us with -6 = -6, which is always true.
Therefore, the solution is D. Infinite solutions.