Solve |6x-30|=9x - ScanMath

Question

Solve the equation

x = 2

Evaluate

∣ 6 x - 30 ∣ = 9 x

Rewrite the expression

∣ 6 x - 30 ∣ - 9 x = 0

Separate the equation into 2 possible cases

6 x - 30 - 9 x = 0, 6 x - 30 \geq 0 - (6 x - 30) - 9 x = 0, 6 x - 30 < 0

Solve the equation

More Steps

x = - 10, 6 x - 30 \geq 0 - (6 x - 30) - 9 x = 0, 6 x - 30 < 0

Solve the inequality

More Steps

x = - 10, x \geq 5 - (6 x - 30) - 9 x = 0, 6 x - 30 < 0

Solve the equation

More Steps

x = - 10, x \geq 5 x = 2, 6 x - 30 < 0

Solve the inequality

More Steps

x = - 10, x \geq 5 x = 2, x < 5

Find the intersection

x \in \emptyset x = 2, x < 5

Find the intersection

x \in \emptyset x = 2

Solution

x = 2

Show Solution