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Popular >

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

Solution

\frac{2}{3} x + \frac{3}{2} (x - 5) \leq x

Solution

x \leq \frac{45}{7}

+2

Solution steps

\frac{2}{3} x + \frac{3}{2} (x - 5) \leq x

Expand

\frac{2}{3} x + \frac{3}{2} (x - 5) : \frac{13 x}{6} - \frac{15}{2}

\frac{13 x}{6} - \frac{15}{2} \leq x

Move

\frac{15}{2}

to the right side

\frac{13 x}{6} \leq x + \frac{15}{2}

Multiply both sides by

6

13 x \leq 6 x + 45

Move

6 x

to the left side

7 x \leq 45

Divide both sides by

7

x \leq \frac{45}{7}

Popular Examples

factor x^4-2x^3+27x-54 factor

x^{4} - 2 x^{3} + 27 x - 54

x (2 x + 4) = 0

2 x + 12 \leq 2 x + 12

8 - 2 x \leq 2

(x^2-16)/(x^2-36)<= 0

\frac{x ^{2} - 16}{x ^{2} - 36} \leq 0

Frequently Asked Questions (FAQ)

What is 2/3 x+3/2 (x-5)<= x ?
The solution to 2/3 x+3/2 (x-5)<= x is x<= 45/7