what is 1/4(8 - 12x) = x - 2(2x+1)

Answer 1

To solve the equation 1/4(8 - 12x) = x - 2(2x + 1), we must first distribute the coefficients on each side:

1/4 * 8 - 1/4 * 12x = x - 2 * 2x - 2

2 - 3x = x - 4x - 2

Next, we can combine like terms:

2 - 3x = -3x - 2

Now, we can add 3x to both sides to get the variable terms on one side:

2 = -2

Since this equation leads to a contradiction, there are no solutions to the original equation 1/4(8 - 12x) = x - 2(2x+1).