What is the answer to |x+1|-5= 2/5 x-2 ?

The answer to |x+1|-5= 2/5 x-2 is x=-20/7 \lor x= 10/3

Solve for x: |x+1|-5= 2/5 x-2

The solution is x=-20/7 \lor x= 10/3

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∣ x + 1 ∣ - 5 = \frac{2}{5} x - 2

x = - \frac{20}{7} or x = \frac{10}{3}

Decimal

x = - 2.85714 \dots, x = 3.33333 \dots

Solution steps

∣ x + 1 ∣ - 5 = \frac{2}{5} x - 2

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - \frac{20}{7} or x = \frac{10}{3}

∣ 7 - 6 x ∣ = - 2 x + 1

4 - 9 ∣ - 3 x - 3 ∣ = - 5

\frac{- 2 x ^{2}}{∣ x ∣} + x^{2} - 9 = 0

5 ∣ c ∣ - 9 = 61

x^{2} + 3 x - 1 = 2 + x

What is the answer to |x+1|-5= 2/5 x-2 ?
The answer to |x+1|-5= 2/5 x-2 is x=-20/7 \lor x= 10/3
Solve for x: |x+1|-5= 2/5 x-2
The solution is x=-20/7 \lor x= 10/3