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Popular >

5x-3(x+2)<4x+8

Solution

5 x - 3 (x + 2) < 4 x + 8

Solution

x > - 7

+1

Interval Notation

(- 7, \infty)

Solution steps

5 x - 3 (x + 2) < 4 x + 8

Expand

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

5 x - 3 x - 6 < 4 x + 8

Add similar elements:

5 x - 3 x = 2 x

2 x - 6 < 4 x + 8

Move

6

to the right side

2 x < 4 x + 14

Move

4 x

to the left side

- 2 x < 14

Multiply both sides by

- 1

2 x > - 14

Divide both sides by

2

x > - 7

Popular Examples

((1-2x))/3+((x-2))/6 >((x+3))/2-1

\frac{( 1 - 2 x )}{3} + \frac{( x - 2 )}{6} > \frac{( x + 3 )}{2} - 1

4 (2 x - 3) > 2 (x - 1)

((x+3))/3+((x+2))/5 >= ((7x-1))/(15)

\frac{( x + 3 )}{3} + \frac{( x + 2 )}{5} \geq \frac{( 7 x - 1 )}{15}

x - 2 < 0

((2x-1))/5-((3x+1))/3 >((x-5))/(10)

\frac{( 2 x - 1 )}{5} - \frac{( 3 x + 1 )}{3} > \frac{( x - 5 )}{10}

Frequently Asked Questions (FAQ)

What is 5x-3(x+2)<4x+8 ?
The solution to 5x-3(x+2)<4x+8 is x>-7