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Popular >

(2x)/3+(3x+5)/2 <= 5

Solution

\frac{2 x}{3} + \frac{3 x + 5}{2} \leq 5

Solution

x \leq \frac{15}{13}

+2

Interval Notation

(- \infty, \frac{15}{13}]

Decimal Notation

x \leq 1.15384 \dots

Solution steps

\frac{2 x}{3} + \frac{3 x + 5}{2} \leq 5

Multiply by LCM

4 x + 3 (3 x + 5) \leq 30

Expand

3 (3 x + 5) : 9 x + 15

4 x + 9 x + 15 \leq 30

Add similar elements:

4 x + 9 x = 13 x

13 x + 15 \leq 30

Move

15

to the right side

13 x \leq 15

Divide both sides by

13

x \leq \frac{15}{13}

Popular Examples

factor X^3+X^2 factor

X^{3} + X^{2}

- 2 (x + 3) > x + 6

-6x-1+5x^2=8x^2

- 6 x - 1 + 5 x^{2} = 8 x^{2}

- 4 n + 5 n = - 82

5 ∣ x + 3 ∣ + 1 \leq 41

Frequently Asked Questions (FAQ)

What is (2x)/3+(3x+5)/2 <= 5 ?
The solution to (2x)/3+(3x+5)/2 <= 5 is x<= 15/13