How many solutions does the equation have 8 + 3 (x - 6) = -2 + 3x - 4

1 answer

To solve the equation 8 + 3(x - 6) = -2 + 3x - 4, we first need to simplify both sides of the equation by distributing the 3 on the left side:

8 + 3x - 18 = -2 + 3x - 4
3x - 10 = -2 + 3x - 4

Next, we combine like terms on both sides of the equation:

3x - 10 = 3x - 6

Now, we notice that the x term is the same on both sides of the equation. This means that the equation does not have a solution, as the expressions on both sides of the equation are equal regardless of the value of x.

Therefore, the equation has no solution.