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Popular >

(3x-2)/5 >= (2x-4)/6

Solution

\frac{3 x - 2}{5} \geq \frac{2 x - 4}{6}

Solution

x \geq - 1

+1

Solution steps

\frac{3 x - 2}{5} \geq \frac{2 x - 4}{6}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 x - 2) \cdot 6 \geq 5 (2 x - 4)

Expand

(3 x - 2) \cdot 6 : 18 x - 12

Expand

5 (2 x - 4) : 10 x - 20

18 x - 12 \geq 10 x - 20

Move

12

to the right side

18 x \geq 10 x - 8

Move

10 x

to the left side

8 x \geq - 8

Divide both sides by

8

x \geq - 1

Popular Examples

1+(2x)/5 = 1/5-2x

1 + \frac{2 x}{5} = \frac{1}{5} - 2 x

simplify 3/4*5 simplify

\frac{3}{4} \cdot 5

simplify 4/(5a)*3/(2a^2)simplify

\frac{4}{5 a} \cdot \frac{3}{2 a ^{2}}

simplify (-3x^7y^5)/(x^{12)y^2}simplify

\frac{- 3 x ^{7} y ^{5}}{x ^{12} y ^{2}}

factor k^2-10k+21 factor

k^{2} - 10 k + 21

Frequently Asked Questions (FAQ)

What is (3x-2)/5 >= (2x-4)/6 ?
The solution to (3x-2)/5 >= (2x-4)/6 is x>=-1