What is the answer to |2-2/3 x|=|4+7/8 x| ?

The answer to |2-2/3 x|=|4+7/8 x| is x=-144/5 \lor x=-48/37

Solve for x: |2-2/3 x|=|4+7/8 x|

The solution is x=-144/5 \lor x=-48/37

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2 - \frac{2}{3} x = 4 + \frac{7}{8} x

x = - \frac{144}{5} or x = - \frac{48}{37}

Decimal Notation

x = - 28.8, x = - 1.29729 \dots

Solution steps

2 - \frac{2}{3} x = 4 + \frac{7}{8} x

Find positive and negative intervals

x < - \frac{32}{7}, - \frac{32}{7} \leq x \leq 3, x > 3

Solve the inequality for each interval

x = - \frac{144}{5} or x = - \frac{48}{37} or No Solution

x = - \frac{144}{5} or x = - \frac{48}{37}

(x - 7)^{2} - 4 = 0

- 90 = - 6 (2 k + 1)

4 n^{2} - 324

7 x^{2} < 21 x - 28

\frac{x}{6} - 1 > - 2

What is the answer to |2-2/3 x|=|4+7/8 x| ?
The answer to |2-2/3 x|=|4+7/8 x| is x=-144/5 \lor x=-48/37
Solve for x: |2-2/3 x|=|4+7/8 x|
The solution is x=-144/5 \lor x=-48/37