Solve |3x - 7| - 4 = 0

Evaluate

∣ 3 x - 7 ∣ - 4 = 0

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

∣ 3 x - 7 ∣ = 0 + 4

Removing 0 doesn't change the value,so remove it from the expression

∣ 3 x - 7 ∣ = 4

Separate the equation into 2 possible cases

3 x - 7 = 4 3 x - 7 = - 4

Solve the equation for x

More Steps

x = \frac{11}{3} 3 x - 7 = - 4

Solve the equation for x

More Steps

x = \frac{11}{3} x = 1

Solution

x_{1} = 1, x_{2} = \frac{11}{3}

Alternative Form

x_{1} = 1, x_{2} = 3. \dot{6}

Solve the equation