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Popular >

6(4-3x)+4x<3(9+2x)

Solution

6 (4 - 3 x) + 4 x < 3 (9 + 2 x)

Solution

x > - \frac{3}{20}

+2

Interval Notation

(- \frac{3}{20}, \infty)

Decimal Notation

x > - 0.15

Solution steps

6 (4 - 3 x) + 4 x < 3 (9 + 2 x)

Expand

6 (4 - 3 x) : 24 - 18 x

24 - 18 x + 4 x < 3 (9 + 2 x)

Add similar elements:

- 18 x + 4 x = - 14 x

24 - 14 x < 3 (9 + 2 x)

Expand

3 (9 + 2 x) : 27 + 6 x

24 - 14 x < 27 + 6 x

Move

24

to the right side

- 14 x < 6 x + 3

Move

6 x

to the left side

- 20 x < 3

Multiply both sides by

- 1

20 x > - 3

Divide both sides by

20

x > - \frac{3}{20}

Popular Examples

5 x - 17 = - 2 x^{2}

(x-6)/4 =(x-5)/9

\frac{x - 6}{4} = \frac{x - 5}{9}

∣ b - 4 ∣ \geq 9

simplify (3(1000)^2+1)/((1000-8)^2)simplify

\frac{3 ( 1000 ) ^{2} + 1}{( 1000 - 8 ) ^{2}}

8 x - 2 \geq 14

Frequently Asked Questions (FAQ)

What is 6(4-3x)+4x<3(9+2x) ?
The solution to 6(4-3x)+4x<3(9+2x) is x>-3/20