What is the answer to |2x-1|+|x|=7 ?

The answer to |2x-1|+|x|=7 is x=-2\lor x= 8/3

Solve for x: |2x-1|+|x|=7

The solution is x=-2\lor x= 8/3

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∣ 2 x - 1 ∣ + ∣ x ∣ = 7

x = - 2 or x = \frac{8}{3}

Decimal

x = - 2, x = 2.66666 \dots

Solution steps

∣ 2 x - 1 ∣ + ∣ x ∣ = 7

Find positive and negative intervals

x < 0, 0 \leq x < \frac{1}{2}, x \geq \frac{1}{2}

Solve the inequality for each interval

x = - 2 or No Solution or x = \frac{8}{3}

x = - 2 or x = \frac{8}{3}

∣ m + 6 ∣ + 1 = 2

x, ∣ 15 - 9 x ∣ = 48

∣ x - 5 ∣ = - 7

∣ x ∣ - ∣ y ∣ = 5

\frac{a}{6} - 5 = - 4

What is the answer to |2x-1|+|x|=7 ?
The answer to |2x-1|+|x|=7 is x=-2\lor x= 8/3
Solve for x: |2x-1|+|x|=7
The solution is x=-2\lor x= 8/3