Solve |x-5|=3x-1 - ScanMath

Question

Solve the equation

x = \frac{3}{2}

Alternative Form

x = 1.5

Evaluate

∣ x - 5 ∣ = 3 x - 1

Rewrite the expression

∣ x - 5 ∣ - 3 x + 1 = 0

Separate the equation into 2 possible cases

x - 5 - 3 x + 1 = 0, x - 5 \geq 0 - (x - 5) - 3 x + 1 = 0, x - 5 < 0

Solve the equation

More Steps

x = - 2, x - 5 \geq 0 - (x - 5) - 3 x + 1 = 0, x - 5 < 0

Solve the inequality

More Steps

x = - 2, x \geq 5 - (x - 5) - 3 x + 1 = 0, x - 5 < 0

Solve the equation

More Steps

x = - 2, x \geq 5 x = \frac{3}{2}, x - 5 < 0

Solve the inequality

More Steps

x = - 2, x \geq 5 x = \frac{3}{2}, x < 5

Find the intersection

x \in \emptyset x = \frac{3}{2}, x < 5

Find the intersection

x \in \emptyset x = \frac{3}{2}

Solution

x = \frac{3}{2}

Alternative Form

x = 1.5

Show Solution