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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

2(4r+3)=3(2r+7)

2 (4 r + 3) = 3 (2 r + 7)

factor 36y^2-x^2 factor

36 y^{2} - x^{2}

(3-x)/(x+2)<= 1/x

\frac{3 - x}{x + 2} \leq \frac{1}{x}

x^{3} - 4 x > 0

factor x^2+27x+50 factor

x^{2} + 27 x + 50

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