Solve |x-5|=12 - ScanMath

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Type your math problem... |x-5|=12

x

Question

Solve the equation

x_{1} = - 7, x_{2} = 17

Evaluate

∣ x - 5 ∣ = 12

Separate the equation into 2 possible cases

x - 5 = 12 x - 5 = - 12

Solve the equation for x

More Steps

Evaluate

x - 5 = 12

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

x = 12 + 5

Add the numbers

x = 17

x = 17 x - 5 = - 12

Solve the equation for x

More Steps

Evaluate

x - 5 = - 12

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

x = - 12 + 5

Add the numbers

x = - 7

x = 17 x = - 7

Solution

x_{1} = - 7, x_{2} = 17

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