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

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

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

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

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∣ 8 + 5 x ∣ = 7 - x

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

Solution steps

∣ 8 + 5 x ∣ = 7 - x

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 ∣ 9 - 2 x ∣ + 9 = - 12

∣ 2 x ∣ - 3 = - 5

2 - 2 ∣ 5 x - 2 ∣ = - 18

∣ 5 p + 3 ∣ - 4 = 2 p

∣ 4 x + 2 ∣ = 18

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