3(x-1)+5=4x+3-x

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

3(x-1) + 5 = 4x + 3 - x

Now, let's distribute 3 to the terms inside the parentheses:

3x - 3 + 5 = 4x + 3 - x

Combine like terms on both sides:

3x + 2 = 3x + 3

Next, subtract 3x from both sides to isolate the variable:

3x - 3x + 2 = 3x - 3x + 3

2 = 3

Since we get a false statement (2=3), it means that the original equation has no solution.