What is the answer to |6x-16|=|3x+13| ?

The answer to |6x-16|=|3x+13| is x= 1/3 \lor x= 29/3

Solve for x: |6x-16|=|3x+13|

The solution is x= 1/3 \lor x= 29/3

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∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

x = \frac{1}{3} or x = \frac{29}{3}

Decimal Notation

x = 0.33333 \dots, x = 9.66666 \dots

Solution steps

∣ 6 x - 16 ∣ = ∣ 3 x + 13 ∣

Find positive and negative intervals

x < - \frac{13}{3}, - \frac{13}{3} \leq x < \frac{8}{3}, x \geq \frac{8}{3}

Solve the inequality for each interval

No Solution or x = \frac{1}{3} or x = \frac{29}{3}

x = \frac{1}{3} or x = \frac{29}{3}

\frac{+ k}{- 2} = + 1

∣ x - 3.5 ∣ = 0

∣ x ∣ + ∣ x - 1 ∣ + ∣ x + 2 ∣ = 3

∣ x + 1 ∣ + ∣ x - 3 ∣ = 3 x - 4

2 x^{2} + ∣ x ∣ - 6 = 0

What is the answer to |6x-16|=|3x+13| ?
The answer to |6x-16|=|3x+13| is x= 1/3 \lor x= 29/3
Solve for x: |6x-16|=|3x+13|
The solution is x= 1/3 \lor x= 29/3