Solve the following absolute value equation:

|2x-5|=7

x = - 6 or x = 1

x = 6 or x = 1

x = - 6 or x = - 1

x = 6 or x = - 1

x = 6 x = - 1

Step-by-step explanation:

When we have absolute value equations, we get two solutions, one positive and one negative

2x - 5 = 7 2x - 5 = - 7

Add 5 to each side

2x-5+5 = 7+5 2x - 5+5 = - 7+5

2x = 12 2x = - 2

Divide each side by 2

2x/2 = 12/2 2x/2 = - 2/2

x = 6 x = - 1