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Popular >

-3(x-2)+2<2x-3-3x

Solution

- 3 (x - 2) + 2 < 2 x - 3 - 3 x

Solution

x > \frac{11}{2}

+2

Interval Notation

(\frac{11}{2}, \infty)

Decimal Notation

x > 5.5

Solution steps

- 3 (x - 2) + 2 < 2 x - 3 - 3 x

Group like terms

- 3 (x - 2) + 2 < 2 x - 3 x - 3

Add similar elements:

2 x - 3 x = - x

- 3 (x - 2) + 2 < - x - 3

Expand

- 3 (x - 2) + 2 : - 3 x + 8

- 3 x + 8 < - x - 3

Move

8

to the right side

- 3 x < - x - 11

Move

x

to the left side

- 2 x < - 11

Multiply both sides by

- 1

2 x > 11

Divide both sides by

2

x > \frac{11}{2}

Popular Examples

144 a = 0.5

factor 2m^2+6m-8 factor

2 m^{2} + 6 m - 8

\frac{12 - x}{- 4} > 9

simplify (-2-3i)^2 simplify

(- 2 - 3 i)^{2}

2 x^{2} + 16 x + 33 = 0

Frequently Asked Questions (FAQ)

What is -3(x-2)+2<2x-3-3x ?
The solution to -3(x-2)+2<2x-3-3x is x> 11/2