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Popular >

x-4<(2x)/3+(2-3x)/5

Solution

x - 4 < \frac{2 x}{3} + \frac{2 - 3 x}{5}

Solution

x < \frac{33}{7}

+2

Interval Notation

(- \infty, \frac{33}{7})

Decimal Notation

x < 4.71428 \dots

Solution steps

x - 4 < \frac{2 x}{3} + \frac{2 - 3 x}{5}

Multiply by LCM

15 x - 60 < 10 x + 3 (- 3 x + 2)

Expand

3 (- 3 x + 2) : - 9 x + 6

15 x - 60 < 10 x - 9 x + 6

Add similar elements:

10 x - 9 x = x

15 x - 60 < x + 6

Move

60

to the right side

15 x < x + 66

Move

x

to the left side

14 x < 66

Divide both sides by

14

x < \frac{33}{7}

Popular Examples

11 x^{2} - 6 x - 2 = 0

∣ 2 x - 2 ∣ = ∣ - 8 ∣

(3x+7)/2+(x-7)/3 = 17/2

\frac{3 x + 7}{2} + \frac{x - 7}{3} = \frac{17}{2}

x^3+7x^2+10x>= 0

x^{3} + 7 x^{2} + 10 x \geq 0

5 x = x + 20

Frequently Asked Questions (FAQ)

What is x-4<(2x)/3+(2-3x)/5 ?
The solution to x-4<(2x)/3+(2-3x)/5 is x< 33/7