Does 5 (x-2) = 5x-7 have one solution, many solutions, or no solutions

no solutions

Step-by-step explanation:

5 (x-2) = 5x-7

Distribute

5x - 10 = 5x-7

Subtract 5x from each side

-10 = - 7

This is never true so there are no solutions

First solve the equation.

Start by distributing the 5 through the parenthses on the left side.

On the left we get 5x - 10 and on the right we have 5x - 7.

So we have the equation 5x - 10 = 5x - 7.

Now subtract 5x from both sides to get - 10 = - 7.

Since - 10 = - 7 is a false statement, this equation has no solution.