What is the answer to |8+5x|=-x+7 ?

The answer to |8+5x|=-x+7 is x=-15/4 \lor x=-1/6

Solve for x: |8+5x|=-x+7

The solution is x=-15/4 \lor x=-1/6

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∣ 8 + 5 x ∣ = - x + 7

x = - \frac{15}{4} or x = - \frac{1}{6}

Decimal Notation

x = - 3.75, x = - 0.16666 \dots

Solution steps

∣ 8 + 5 x ∣ = - x + 7

Find positive and negative intervals

x < - \frac{8}{5}, x \geq - \frac{8}{5}

Solve the inequality for each interval

x = - \frac{15}{4} or x = - \frac{1}{6}

- 7 ∣ 10 x - 3 ∣ - 4 = - 25

∣ 7 s ∣ = 0

2 x - 1 + ∣ 2 x + 1 ∣ = 0

5 + 5 \frac{x}{9} = 10

∣ s ∣ - 7 = 3

What is the answer to |8+5x|=-x+7 ?
The answer to |8+5x|=-x+7 is x=-15/4 \lor x=-1/6
Solve for x: |8+5x|=-x+7
The solution is x=-15/4 \lor x=-1/6