|2x+6|-7=40

Enter Equation or Inequality


Solve for x in the equation |2x+6|-7 = 40

We add 7 to each side
|2x + 6| - 7 + 7 = 40 + 7
|2x + 6| = 47

Since this is an absolute value equation, we need to setup two equations

Solve Equation 1 → 2x+6 = 47
Subtract - 6 from both sides of the equation
2x+6 - 6= 47 - 6
2x = 41

Divide each side of absolute value equation 1 by 2
2x
2
=
41
2

Solution to absolute value equation 1 is
x = 20.5

Solve Equation 2 → 2x+6 = -47
Subtract - 6 from both sides of the equation
2x+6 - 6= -47 - 6
2x = - 53

Divide each side of absolute value equation 2 by 2
2x
2
=
-53
2

Solution to absolute value equation 2 is
x = -26.5