What is the answer to |5x+3|+1=8 ?

The answer to |5x+3|+1=8 is x=-2\lor x= 4/5

Solve for x: |5x+3|+1=8

The solution is x=-2\lor x= 4/5

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∣ 5 x + 3 ∣ + 1 = 8

x = - 2 or x = \frac{4}{5}

Decimal

x = - 2, x = 0.8

Solution steps

∣ 5 x + 3 ∣ + 1 = 8

Move

1

to the right side

∣ 5 x + 3 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 3 = - 7 or 5 x + 3 = 7

5 x + 3 = - 7 or 5 x + 3 = 7

x = - 2 or x = \frac{4}{5}

∣ 2 x - 5 ∣ = ∣ 3 x + 1 ∣

∣ x + 3 ∣ = x^{2} + 2 x - 3

∣ x + 1 ∣ = - 2 x - 5

∣ 2 x + 5 ∣ - x = 1

x, x^{2} + x - 7 = 3 x + 8