Solve |12x-18|-4=14

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Type your math problem... |12x-18|-4=14

Question

Solve the equation

x_{1} = 0, x_{2} = 3

Evaluate

∣ 12 x - 18 ∣ - 4 = 14

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

∣ 12 x - 18 ∣ = 14 + 4

Add the numbers

∣ 12 x - 18 ∣ = 18

Separate the equation into 2 possible cases

12 x - 18 = 18 12 x - 18 = - 18

Solve the equation for x

More Steps

Evaluate

12 x - 18 = 18

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

12 x = 18 + 18

Add the numbers

12 x = 36

Divide both sides

\frac{12 x}{12} = \frac{36}{12}

Divide the numbers

x = \frac{36}{12}

Divide the numbers

More Steps

Evaluate

\frac{36}{12}

Reduce the numbers

\frac{3}{1}

Calculate

3

x = 3

x = 3 12 x - 18 = - 18

Solve the equation for x

More Steps

Evaluate

12 x - 18 = - 18

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

12 x = - 18 + 18

Add the numbers

12 x = 0

Rewrite the expression

x = 0

x = 3 x = 0

Solution

x_{1} = 0, x_{2} = 3

Show Solution

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