What is the answer to |x-7|=|3x+8| ?

The answer to |x-7|=|3x+8| is x=-15/2 \lor x=-1/4

Solve for x: |x-7|=|3x+8|

The solution is x=-15/2 \lor x=-1/4

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∣ x - 7 ∣ = ∣ 3 x + 8 ∣

x = - \frac{15}{2} or x = - \frac{1}{4}

Decimal Notation

x = - 7.5, x = - 0.25

Solution steps

∣ x - 7 ∣ = ∣ 3 x + 8 ∣

Find positive and negative intervals

x < - \frac{8}{3}, - \frac{8}{3} \leq x < 7, x \geq 7

Solve the inequality for each interval

x = - \frac{15}{2} or x = - \frac{1}{4} or No Solution

x = - \frac{15}{2} or x = - \frac{1}{4}

120 = \frac{180 ( n - 2 )}{2}

\frac{3}{2} + (- \frac{5}{2}) + (- 2)

7 y - 84 = 2 y + 61

10 x y - 4 x - 5 y + 2

- \frac{7}{7}

What is the answer to |x-7|=|3x+8| ?
The answer to |x-7|=|3x+8| is x=-15/2 \lor x=-1/4
Solve for x: |x-7|=|3x+8|
The solution is x=-15/2 \lor x=-1/4