What is the answer to |x-4|=|3x+7| ?

The answer to |x-4|=|3x+7| is x=-11/2 \lor x=-3/4

Solve for x: |x-4|=|3x+7|

The solution is x=-11/2 \lor x=-3/4

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∣ x - 4 ∣ = ∣ 3 x + 7 ∣

x = - \frac{11}{2} or x = - \frac{3}{4}

Decimal Notation

x = - 5.5, x = - 0.75

Solution steps

∣ x - 4 ∣ = ∣ 3 x + 7 ∣

Find positive and negative intervals

x < - \frac{7}{3}, - \frac{7}{3} \leq x < 4, x \geq 4

Solve the inequality for each interval

x = - \frac{11}{2} or x = - \frac{3}{4} or No Solution

x = - \frac{11}{2} or x = - \frac{3}{4}

\frac{3 x}{5} = \frac{x + 1}{2}

\frac{1}{2} - \frac{3}{2}

lo g_{4} (4)

(5^{\frac{2}{3}})^{\frac{1}{2}}

\frac{5}{4} \cdot 8

What is the answer to |x-4|=|3x+7| ?
The answer to |x-4|=|3x+7| is x=-11/2 \lor x=-3/4
Solve for x: |x-4|=|3x+7|
The solution is x=-11/2 \lor x=-3/4