Solve |x-3|=2 - ScanMath

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Type your math problem... |x-3|=2

x

Question

Solve the equation

x_{1} = 1, x_{2} = 5

Evaluate

∣ x - 3 ∣ = 2

Separate the equation into 2 possible cases

x - 3 = 2 x - 3 = - 2

Solve the equation for x

More Steps

Evaluate

x - 3 = 2

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

x = 2 + 3

Add the numbers

x = 5

x = 5 x - 3 = - 2

Solve the equation for x

More Steps

Evaluate

x - 3 = - 2

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

x = - 2 + 3

Add the numbers

x = 1

x = 5 x = 1

Solution

x_{1} = 1, x_{2} = 5

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