Why does 10x-1=10x+4 has no solution

Simplifying

10x + 1 = 10x + - 4

Reorder the terms:

1 + 10x = 10x + - 4

Reorder the terms:

1 + 10x = - 4 + 10x

Add '-10x' to each side of the equation.

1 + 10x + - 10x = - 4 + 10x + - 10x

Combine like terms: 10x + - 10x = 0

1 + 0 = - 4 + 10x + - 10x

1 = - 4 + 10x + - 10x

Combine like terms: 10x + - 10x = 0

1 = - 4 + 0

1 = - 4

Solving

1 = - 4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.