Solve |x-6|=3 - ScanMath

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Type your math problem... |x-6|=3

x

Question

Solve the equation

x_{1} = 3, x_{2} = 9

Evaluate

∣ x - 6 ∣ = 3

Separate the equation into 2 possible cases

x - 6 = 3 x - 6 = - 3

Solve the equation for x

More Steps

Evaluate

x - 6 = 3

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

x = 3 + 6

Add the numbers

x = 9

x = 9 x - 6 = - 3

Solve the equation for x

More Steps

Evaluate

x - 6 = - 3

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

x = - 3 + 6

Add the numbers

x = 3

x = 9 x = 3

Solution

x_{1} = 3, x_{2} = 9

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