Question

Does the following equation have one solution, infinite solutions, or no solution? 2(x-1) +3 = 2x + 1

Answer 1

Infinite solutions

Explanation:

(x−1)+3=2x+1

(2)(x)+(2)(−1)+3=2x+1(Distribute)

2x+−2+3=2x+1

(2x)+(−2+3)=2x+1(Combine Like Terms)

2x+1=2x+1

2x+1=2x+1

Step 2: Subtract 2x from both sides.

2x+1−2x=2x+1−2x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0