Solve |2x-3|=-5x - ScanMath

Question

Solve the equation

Solve for x

x = - 1

Evaluate

∣ 2 x - 3 ∣ = - 5 x

Rewrite the expression

∣ 2 x - 3 ∣ + 5 x = 0

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

x = \frac{3}{7}, 2 x - 3 \geq 0 - (2 x - 3) + 5 x = 0, 2 x - 3 < 0

Solve the inequality

More Steps

x = \frac{3}{7}, x \geq \frac{3}{2} - (2 x - 3) + 5 x = 0, 2 x - 3 < 0

Solve the equation

More Steps

x = \frac{3}{7}, x \geq \frac{3}{2} x = - 1, 2 x - 3 < 0

Solve the inequality

More Steps

x = \frac{3}{7}, x \geq \frac{3}{2} x = - 1, x < \frac{3}{2}

Find the intersection

x \in \emptyset x = - 1, x < \frac{3}{2}

Find the intersection

x \in \emptyset x = - 1

Solution

x = - 1

Show Solution