Slove the equation below.

Question

4x+5+6=5(2x-4)
How many solutions does this equation have?
A. No solution
B. Infinitely many solutions
C. One solution

Answer 1

To solve the equation, we can start by simplifying both sides.

On the left side, we can combine like terms:
4x + 5 + 6 = 5(2x - 4)
4x + 11 = 5(2x - 4)

Next, we can distribute the 5 on the right side:
4x + 11 = 10x - 20

Now, we can isolate the variable by moving the terms:
4x - 10x = -20 - 11
-6x = -31

Finally, we divide both sides by -6 to solve for x:
x = (-31) / (-6) = 31/6

Therefore, the equation has one solution.

The answer is C. One solution.