How do I solve an equation like this, one with a negative in front of parentheses?

2 - (4-x) = 7x-5x

The factor outside the parentheses is - 1. Distribute using that factor.

2 - (4 - x) = 7x - 5x

-1 * 4 = - 4 and - 1 * - x = x

2 - 4 + x = 7x - 5x

Simplify.

-2 + x = 2x

x = 2x + 2

-x = 2

x = - 2

Answer:

x = - 2