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Popular >

7x+4(x-2)>6(1+3x)

Solution

7 x + 4 (x - 2) > 6 (1 + 3 x)

Solution

x < - 2

+1

Interval Notation

(- \infty, - 2)

Solution steps

7 x + 4 (x - 2) > 6 (1 + 3 x)

Expand

4 (x - 2) : 4 x - 8

7 x + 4 x - 8 > 6 (1 + 3 x)

Add similar elements:

7 x + 4 x = 11 x

11 x - 8 > 6 (1 + 3 x)

Expand

6 (1 + 3 x) : 6 + 18 x

11 x - 8 > 6 + 18 x

Move

8

to the right side

11 x > 18 x + 14

Move

18 x

to the left side

- 7 x > 14

Multiply both sides by

- 1

7 x < - 14

Divide both sides by

7

x < - 2

Popular Examples

(x+7}{12}-\frac{x^2+1)/4 =1-2/3

\frac{x + 7}{12} - \frac{x ^{2} + 1}{4} = 1 - \frac{2}{3}

(x + 3)^{2} - 1 = 35

3 x = - 9

2 ∣ x - 3 ∣ + 1 = 7

3 m^{2} - 27 = 0

Frequently Asked Questions (FAQ)

What is 7x+4(x-2)>6(1+3x) ?
The solution to 7x+4(x-2)>6(1+3x) is x<-2