What is 8-(3x+2)/5 >= 2((2x-1)/3) ?

The solution to 8-(3x+2)/5 >= 2((2x-1)/3) is x<= 124/29

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8-(3x+2)/5 >= 2((2x-1)/3)

8 - \frac{3 x + 2}{5} \geq 2 (\frac{2 x - 1}{3})

x \leq \frac{124}{29}

Interval Notation

(- \infty, \frac{124}{29}]

Decimal Notation

x \leq 4.27586 \dots

Solution steps

8 - \frac{3 x + 2}{5} \geq 2 (\frac{2 x - 1}{3})

Move

8

to the right side

- \frac{3 x + 2}{5} \geq \frac{2 ( 2 x - 1 )}{3} - 8

Multiply by LCM

- 3 (3 x + 2) \geq 10 (2 x - 1) - 120

Expand

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

Expand

10 (2 x - 1) - 120 : 20 x - 130

- 9 x - 6 \geq 20 x - 130

Move

6

to the right side

- 9 x \geq 20 x - 124

Move

20 x

to the left side

- 29 x \geq - 124

Multiply both sides by

- 1

29 x \leq 124

Divide both sides by

29

x \leq \frac{124}{29}

3 x - 3 \leq 3 (x - 1)

(\frac{27}{125})^{\frac{2}{3}}

9 k + 18 k^{3}

\frac{30 x ^{3} y ^{5}}{12 x ^{6} y ^{7}}

p^{2} - 12 = 4 p

What is 8-(3x+2)/5 >= 2((2x-1)/3) ?
The solution to 8-(3x+2)/5 >= 2((2x-1)/3) is x<= 124/29