What is the answer to |5x+1|=|4x-7| ?

The answer to |5x+1|=|4x-7| is x=-8\lor x= 2/3

Solve for x: |5x+1|=|4x-7|

The solution is x=-8\lor x= 2/3

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∣ 5 x + 1 ∣ = ∣ 4 x - 7 ∣

x = - 8 or x = \frac{2}{3}

Decimal Notation

x = - 8, x = 0.66666 \dots

Solution steps

∣ 5 x + 1 ∣ = ∣ 4 x - 7 ∣

Find positive and negative intervals

x < - \frac{1}{5}, - \frac{1}{5} \leq x < \frac{7}{4}, x \geq \frac{7}{4}

Solve the inequality for each interval

x = - 8 or x = \frac{2}{3} or No Solution

x = - 8 or x = \frac{2}{3}

\frac{x - 7}{x + 2} \geq 0

40 + 15 + 0.25 x = 45 + 0.35 x

- 2 \leq x \leq 7

\frac{3.9 \cdot 1 0 ^{8}}{1.3 \cdot 1 0 ^{3}}

4 a^{2} - 64 = 0

What is the answer to |5x+1|=|4x-7| ?
The answer to |5x+1|=|4x-7| is x=-8\lor x= 2/3
Solve for x: |5x+1|=|4x-7|
The solution is x=-8\lor x= 2/3