|2x+4|=30

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Solve the following equation

|2x+4|=30

Solve for x

|2x+4| = 30

Absolute Value Equations

Since this is an absolute value equation
Setup two equations

• 2x+4 = 30
• 2x+4 = -30

Solve Equation 1 → 2x+4 = 30

Subtract - 4 from both sides of the equation

2x+4 - 4= 30 - 4

2x = 26

Divide each side of absolute value equation 1 by 2

Keep our =

Solution to absolute value equation 1 is

x = 13

Solve Equation 2 → 2x+4 = -30

Subtract - 4 from both sides of the equation

2x+4 - 4= -30 - 4

2x = - 34

Divide each side of absolute value equation 2 by 2

Keep our =

Solution to absolute value equation 2 is

x = -17