Question

Does the equation 5x-(7x-1)=-3x+8 has exactly one solution

Answer 1

Yes

Explanation:

5x-(7x-1)=-3x+8

5x - 7x + 1 = -3x + 8

-2x + 3x = 8 - 1

x = 7

Answer 2

x=7 so there is one solution

Explanation:

5x-(7x-1)=-3x+8

Distribute the minus sign

5x -7x +1 = -3x+8

Combine like terms

-2x +1 = -3x+8

Add 3x to each side

-2x+3x+1 = -3x+3x+8

x+1 = 8

Subtract 1 from each side

x+1-1=8-1

x=7