What is the answer to |7x|=4+x ?

The answer to |7x|=4+x is x=-1/2 \lor x= 2/3

Solve for x: |7x|=4+x

The solution is x=-1/2 \lor x= 2/3

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∣ 7 x ∣ = 4 + x

x = - \frac{1}{2} or x = \frac{2}{3}

Decimal

x = - 0.5, x = 0.66666 \dots

Solution steps

∣ 7 x ∣ = 4 + x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{1}{2} or x = \frac{2}{3}

∣ x - 1 ∣ ∣ x + 2 ∣ = 3

9 - 2 ∣ 4 x - 2 ∣ = 7

42 - ∣ x ∣ = 15

∣ 2 x - 5 ∣ = - 8

∣ x ∣ + ∣ 2 x + 3 ∣ = 4