What is the answer to |7x+8|=|10x+4| ?

The answer to |7x+8|=|10x+4| is x=-12/17 \lor x= 4/3

Solve for x: |7x+8|=|10x+4|

The solution is x=-12/17 \lor x= 4/3

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∣ 7 x + 8 ∣ = ∣ 10 x + 4 ∣

x = - \frac{12}{17} or x = \frac{4}{3}

Decimal

x = - 0.70588 \dots, x = 1.33333 \dots

Solution steps

∣ 7 x + 8 ∣ = ∣ 10 x + 4 ∣

Find positive and negative intervals

x < - \frac{8}{7}, - \frac{8}{7} \leq x < - \frac{2}{5}, x \geq - \frac{2}{5}

Solve the inequality for each interval

No Solution or x = - \frac{12}{17} or x = \frac{4}{3}

x = - \frac{12}{17} or x = \frac{4}{3}

∣ k + 1 ∣ = - 9

6 + 3 ∣ 8 - 9 a ∣ = - 51

\frac{n}{6} + 2 = 3

∣ 2 s - 3 ∣ = ∣ 7 - s ∣

- 9 ∣ k + 6 ∣ = 0

What is the answer to |7x+8|=|10x+4| ?
The answer to |7x+8|=|10x+4| is x=-12/17 \lor x= 4/3
Solve for x: |7x+8|=|10x+4|
The solution is x=-12/17 \lor x= 4/3