4(3x-1)+9-2x=2x=5+8x

a. there is no solution
b. x=all real numbers
c. x=4 1/2
d. x=1/2

1 answer

To solve the equation, first simplify it by combining like terms:

4(3x-1) + 9 - 2x = 2x + 5 + 8x
12x - 4 + 9 - 2x = 10x + 5
10x + 5 = 10x + 5

Now, subtract 10x from both sides:

10x - 10x + 5 = 10x - 10x + 5
5 = 5

The equation simplifies to 5 = 5, which is true. This means that the equation has infinite solutions, and x could be any real number. Therefore, the answer is:

b. x = all real numbers