Solve |x-2|=14 - ScanMath

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Type your math problem... |x-2|=14

x

Question

Solve the equation

x_{1} = - 12, x_{2} = 16

Evaluate

∣ x - 2 ∣ = 14

Separate the equation into 2 possible cases

x - 2 = 14 x - 2 = - 14

Solve the equation for x

More Steps

Evaluate

x - 2 = 14

Move the constant to the right-hand side and change its sign

x = 14 + 2

Add the numbers

x = 16

x = 16 x - 2 = - 14

Solve the equation for x

More Steps

Evaluate

x - 2 = - 14

Move the constant to the right-hand side and change its sign

x = - 14 + 2

Add the numbers

x = - 12

x = 16 x = - 12

Solution

x_{1} = - 12, x_{2} = 16

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